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Publications

2022

A.I. Dyachenko, S.A. Dyachenko, V.E. Zakharov, Free Surface in 2D Potential Flow: Singularities, Invariants and Virtual Fluid, Journal of Fluid Mechanics 952, A30, 2022; arXiv:2109.13159, ADS: 2021arXiv210913159D.

Y.A. Stepanyants, D.V. Zakharov, V.E. Zakharov, Lump interactions with plane solitons, Radiophysics and Quantum Electronics 64, No. 10, 665-680, 2022; arXiv:2108.06071, ADS: 2021arXiv210806071S.

V. Zakharov, High-dimensional generalizations of the chiral field equations, to appear in Theor. Math. Phys.

V. Geogjaev, A. Pushkarev, V. Zakharov, On ST6 Source Terms Model Assessment and Alternative, to appear in Journal of Physical Oceanography.

2021

A.I. Dyachenko, S.A. Dyachenko, P.M. Lushnikov, V.E. Zakharov, Short branch cut approximation in two-dimensional hydrodynamics with free surface, Proc. Roy. Soc. A 477 (2249), 20200811 (2021); arXiv:2003.05085, WoS: 000647709300001, Scopus: 2-s2.0-85107630020, MathSciNet: 4269877.

P.M. Lushnikov, V.E. Zakharov, Poles and branch cuts in free surface hydrodynamics, Water Waves, 3(1), 251-266 (2021); arXiv:1911.11609, ADS: 2021WatWa...3..251L, MathSciNet: 4246395.

C. Lester, A. Gelash, D. Zakharov, V. Zakharov, Lump chains in the KP-I equation, Stud. Appl. Math. 147.4, 1425-1442, 2021; arXiv:2102.07038, ADS: 2021arXiv210207038L.

2020

D. Kachulin, A. Dyachenko, V. Zakharov, Soliton Turbulence in Approximate and Exact Models for Deep Water Waves, Fluids, 5(2), art. 67 (2020), WoS: 000551183200001, Scopus: 2-s2.0-85086002936.

V.E. Zakharov, Integration of a deep fluid equation with a free surface, Theor. Math. Phys., 202(3), 285-294 (2020), WoS: 000524228200001, Scopus: 2-s2.0-85083276610.

G. Xu, A. Gelash, A. Chabchoub, V. Zakharov, B. Kibler, Ghost Interaction of Breathers, Front. Phys. 8, 608894 (2020), WoS: 000600387700001, Scopus: 2-s2.0-85098056130.

P.M. Lushnikov, V.E. Zakharov, Poles and branch cuts in free surface hydrodynamics, Water Waves, Online First, Published: 25 May 2020. https://doi.org/10.1007/s42286-020-00040-y; arXiv:1911.11609.

V.E. Zakharov, D.V. Zakharov, Generalized primitive potentials, Doklady Mathematics, 101(2), 117-121 (2020); arXiv:1907.05038.

S.I. Badulin, V.E. Zakharov, The Phillips spectrum and a model of wind-wave dissipation, Theor. Math. Phys., 202(3), 309-318 (2020), WoS: 000524228200003, Scopus: 2-s2.0-85083262946.

S.A. Dyachenko, P. Nabelek, D.V. Zakharov, V.E. Zakharov, Primitive solutions of the Korteweg–de Vries equation, Theor. Math. Phys., 202(3), 334-343 (2020), WoS: 000524228200005, Scopus: 2-s2.0-85083214793.

A.N. Pushkarev, V.E. Zakharov, Nonlinear amplification of ocean waves in straits, Theor. Math. Phys., 203(1), 535-546 (2020], WoS: 000529685500009, Scopus: 2-s2.0-85084128325.

P. Nabelek, V. Zakharov, Solutions to the Kaup–Broer System and Its (2+1) Dimensional Integrable Generalization via the Dressing Method, Physica D: Nonlinear Phenomena 409, 132478

D. Kachulin, A. Dyachenko, V. Zakharov, A dynamic equation for 2D surface waves on deep water, Proc. 22nd EGU General Assembly, held online 4-8 May, 2020, id.6562.

2019

V.E. Zakharov, S.I. Badulin, V.V. Geogjaev, A.N. Pushkarev, Weak‐Turbulent Theory of Wind‐Driven Sea, Earth and Space Science, 6(4), 540-556 (2019), WoS: 000467222300001, Scopus: 2-s2.0-85064061667.

A.I. Dyachenko, P.M. Lushnikov, V.E. Zakharov, Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface, J. Fluid Mech., 869, 526-552 (2019); arXiv:1809.00707, WoS: 000466346000001, Scopus: 2-s2.0-85065040284.

A.I. Dyachenko, S.A. Dyachenko, P.M. Lushnikov, V.E. Zakharov, Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion, J. Fluid Mech., 874, 891-925 (2019); arXiv:1809.09584, WoS: 000475355200001, Scopus: 2-s2.0-85073157514.

P. Nabelek, D. Zakharov, V. Zakharov, On symmetric primitive potentials, J. Integrable Systems, 4(1), art: xyz006 (2019); arXiv:1812.10545.

G. Xu, A. Gelash, A. Chabchoub, V. Zakharov, B. Kibler, Breather Wave Molecules, Phys. Rev. Lett. 122, 084101 (2019), WoS: 000459920400008, Scopus: 2-s2.0-85062286404.

A.O. Korotkevich, A.O. Prokofiev, V.E. Zakharov, On the Dissipation Rate of Ocean Waves due to White Capping, JETP Lett., 109 (5), 309-315 (2019); arXiv:1808.04953, WoS: 000468338500006, Scopus: 2-s2.0-85062638479.

A. Gelash, D. Agafontsev, V. Zakharov, G. El, S. Randoux, P. Suret, Bound state soliton gas dynamics underlying the spontaneous modulational instability, Phys. Rev. Lett., 123 (23), 234102 (2019)

V.V. Geogjaev, V.E. Zakharov, S.I. Badulin, Numerical study of isotropic ocean swell, Doclady Akademii Nauk, 489 (5), 512-516 (2019)

D. Kachulin, A. Gelash, A. Dyachenko, V. Zakharov, Interactions of coherent structures on the surface of deep water, Geophysical Research Abstracts, Vol. 21, EGU2019-14135 (2019).

2018

D. Kachulin, A. Dyachenko, V. Zakharov, Equations for 1D waves on the surface of deep water, Geophysical Research Abstracts, Vol. 20, EGU2018-13067-1 (2018).

V. Zakharov, Analytic theory of wind-driven sea, IUTAM Symposium Wind Waves, 4-8 September 2017, London, UK; Procedia IUTAM 26 (2018) 43-58.

V. Zakharov, D. Resio, A. Pushkarev, On the tuning-free statistical model of ocean surface waves, Proceedings of the ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2018, June 17-22, 2018, Madrid, Spain.

Zakharov D., Zakharov V. (2018) Non-periodic One-gap Potentials in Quantum Mechanics. In: Kielanowski P., Odzijewicz A., Previato E. (eds) Geometric Methods in Physics XXXV. Trends in Mathematics. Birkhuser, Cham. pp 221-233.

2017

A. Gelash, V. Lvov and V. Zakharov, Complete Hamiltonian formalism for inertial waves in rotating fluids, J. Fluid Mech., 831, pp. 128-150 (2017)

DOI - 10.1017/jfm.2017.611

Vladimir Zakharov, Donald Resio, Andrei Pushkarev, Balanced source terms for wave generation within the Hasselmann equation, Nonlin. Processes Geophys., 24, 581-597 (2017) DOI - 10.5194/npg-24-581-2017

A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, Super compact equation for water waves, J. Fluid Mech., 828, 661-679 (2017)

DOI - 10.1017/jfm.2017.529

A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, Envelope equation for water waves, J. Ocean Engineering & Marine Energy, 3(4), 409-415 (2017)

DOI - 10.1007/s40722-017-0100-z

A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, Statistics of freak waves in numerical tank, Lobachevskii J. Math., 38(5), 888-892 (2017)

DOI - 10.1134/S1995080217050080

V.V. Geogjaev, V.E. Zakharov, Numerical and analytical calculations of the parameters of power-law spectra for deep water gravity waves, JETP Lett., 106(3), 184-187 (2017) DOI: 10.1134/S0021364017150012

S. Badulin and V. Zakharov, Ocean swell within the kinetic equation for water waves, Nonlin. Processes Geophys., 24, 237–253 (2017)

DOI - 10.5194/npg-24-237-2017

A.V. Zakharov and V.E. Zakharov, Production, Redistribution, and Inequality, Modeling and Analysis of Information Systems. Vol. 24, No 1, pp. 5-12 (2017)

DOI: 10.18255/1818-1015-2017-1-5-12

B. Kibler, A. Chabchoub, A. Gelash, N. Akhmediev, and V. E. Zakharov. Ubiquitous nature of modulation instability: from periodic to localized perturbations. Chap. 7. In monograph Nonlinear Guided Wave Optics, edited by S. Wabnitz (IOP Publishing, Bristol, UK), 2017.

2016

S. Dyachenko, D. Zakharov, V. Zakharov, Primitive potentials and bounded solutions of the KdV equation, Physica D 333, 148-156 (2016)

DOI - 10.1016/j.physd.2016.04.002

A. Pushkarev and V. Zakharov, Limited fetch revisited: Comparison of wind input terms, in surface wave modeling, Ocean Modelling, 103, 18-37 (2016) DOI - 10.1016/j.ocemod.2016.03.005

A. Dyachenko, D. Kachulin, V. Zakharov, About compact equations for water waves, Natural Hazards, 84 (Suppl.2), 529-540 (2016)

DOI - 10.1007/s11069-016-2478-7

A.O. Korotkevich, A.I. Dyachenko, V.E. Zakharov, Numerical simulation of surface waves instability on a discrete grid, Physica D 321-322, 51-56 (2016) DOI - 10.1016/j.physd.2016.02.017

A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, Probability Distribution Functions of Freak Waves: Nonlinear Versus Linear Model, Stud. Appl. Math., 137(2), 189-198 (2016) DOI: 10.1111/sapm.12116

A.I. Dyachenko, V.E. Zakharov, Spatial Equation for Water Waves, JETP Letters, 103(3), 181-184 (2016) DOI - 10.1134/S0021364016030048

A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, New compact equation for numerical simulation of freak waves on deep water, J. Phys.: Conf. Ser. 681, 012028 (2016) DOI: 10.1088/1742-6596/681/1/012028

D. Zakharov, V. Zakharov, S. Dyachenko, Non-periodic one-dimensional ideal conductors and integrable turbulence, Phys. Lett. A 380, no. 46, 3881-3885 (2016). DOI - 10.1016/j.physleta.2016.09.040

D.V. Zakharov, S.A. Dyachenko, V.E. Zakharov, Bounded Solutions of KdV and Non-Periodic One-Gap Potentials in Quantum Mechanics, Lett. Math. Phys., 106(6), 731-740 (2016) DOI - 10.1007/s11005-016-0838-6

D.S. Agafontsev, V.E. Zakharov, Integrable turbulence generated from modulational instability of cnoidal waves, Nonlinearity, 29(11), 3551-3578 (2016) DOI - 10.1088/0951-7715/29/11/3551

2015

V. E. Zakharov, S. I. Badulin, Paul A. Hwang and Guillemette Caulliez, Universality of Sea Wave Growth and Its Physical Roots, J. Fluid Mech., 780, 503-535 (2015).

B. Kibler, A. Chabchoub, A. Gelash, N. Akhmediev, V. Zakharov, Superregular breathers in optics and hydrodynamics: Omnipresent modulation instability beyond simple periodicity. Phys. Rev. X, 5, 041026 (2015).

A. I. Dyachenko, D. I. Kachulin, V. E. Zakharov, Evolution of one-dimensional wind-driven sea spectra, JETP Letters, 102 (8), 513-517 (2015).

V.I. Karas, A.M. Vlasenko, V.I. Sokolenko, V.E. Zakharov, Nonequilibrium kinetics of the electronphonon sybsystem of a crystal in a strong electric field as a base of the electroplastic effect, JETP 121(3), 499-508 (2015).

D.S. Agafontsev and V.E. Zakharov, Integrable turbulence and formation of rogue waves, Nonlinearity, 28 (8), 2791-2823 (2015).

A. Dyachenko, D. Kachulin, V. Zakharov Freak-waves: Compact Equation vs Fully Nonlinear One, In: Extreme Ocean Waves, 2nd ed. Springer, E.Pelinovsky and C.Harif (Eds), pp. 23-44 (2015).

D. Arkhipov, G. Khabakhpashev, V. Zakharov, Describing dynamics of nonlinear axisymmetric waves in dispersive media with new equation, Phys. Let. A, 379 (22-23), 1414-1417 (2015).

A. O. Korotkevich and V. E. Zakharov, Evaluation of a spectral line width for the Phillips spectrum by means of numerical simulation, Nonlin. Processes Geophys., 22, 325-335 (2015).

D. S. Agafontsev V. E. Zakharov, Intermittency in generalized NLS equation with focusing six-wave interactions, Physics Letters A, 379 (40-41), 2586-2590 (2015).

2014

A.A. Gelash, V.E. Zakharov, Superregular solitonic solutions: A novel scenario for the nonlinear stage of modulation instability, Nonlinearity, 27(4), R1-R39 (2014).

A.I. Dyachenko, D.I. Kachulin and V.E. Zakharov, Freak waves at the surface of deep water, J. Phys. Conf. Ser., 510, 012050 (2014).

V.E. Zakharov, R.V. Shamin, A.V. Yudin, Energy portrait of rogue waves, JETP Lett., 99 (9), 514-517 (2014).

Y. Hadad, V. Zakharov, Transparency of strong gravitational waves, J. of Geometry and

Physics, 80, 37-48, 2014.

V.E. Zakharov, A.V. Odesskii, M. Cisternino, M. Onorato, Five-wave classical scattering matrix and integrable equations, Theor. Math. Phys., 180(1), 759764 (2014).

2013

A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, On the nonintegrability of the free surface hydrodynamics, JETP Lett., 98(1), 43-47 (2013).

V. Zakharov and A. Gelash, Freak waves as a result of modulation instability, Procedia IUTAM, v. 9, 165-175 (2013).

A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, Collisions of two breathers at the surface of deep fluid, Nat. Hazards Earth Syst. Sci., 13, 3205-3210 (2013).

V.E. Zakharov and A.A. Gelash, Nonlinear stage of modulation instability, Phys. Rev. Letters, 111:5, 054101 (2013).

V.E. Zakharov, V.I. Karas, Nonequilibrium Kolmogorov-type particle distributions and their applications, Phys.-Usp. 56(1), 49-78 (2013).

A. Pushkarev, V.E. Zakharov, Quasibreathers in the MMT model, Physica D: Nonlinear Phenomena, 248 (1), 55-61 (2013).

2012

A. Dyachenko, V. Zakharov, A dynamic equation for water waves in one horizontal dimension, Eur. J. Mech. B 32, 17-21 (2012).

A. Newell, B. Rumpf, and V. E. Zakharov, Spontaneous breaking of the spatial homogeneity symmetry in wave turbulence, Phys. Rev. Lett. 108 (19), 194502 (2012)

V.E. Zakharov and E.A. Kuznetsov, Solitons and collapses - two scenarios of the evolution of nonlinear wave systems, Physics - Uspekhi, 55(6), 535-556 (2012).

A.I. Dyachenko, V.E. Zakharov, D.I. Kachulin, Interaction of breathers in the 2-D free surface hydrodynamics, Geophysical Research Abstracts, Vol. 14, EGU2012-10588 (2012).

V.E. Zakharov, A.I. Dyachenko, Free-Surface Hydrodynamics in the conformal variables, arXiv:1206.2046.

V.E. Zakharov and R.V. Shamin, Statistics of killer-waves in numerical experiments, JETP Lett., 96 (1), 68-71 (2012).

V. Zakharov and A. Dyachenko, Numerical experiments and killer-waves, Fund. Appl. Hydrophysics, 5(1), 64-76 (2012) [in Russian].

2011

V.E. Zakharov and S.I. Badulin, On energy balance of wind-driven seas, Doklady Earth Sciences, 440(2), 1440-1444 (2011).

A. Dyachenko, V. Zakharov, Compact equation for gravity waves on deep water, JETP Lett., 93(12), 701-705 (2011).

N. S. Erokhin and V. E. Zakharov, Reflectionless Passage of an Electromagnetic Wave through an Inhomogeneous Plasma Layer, Plasma Phys. Reports, 37(9), 762-767 (2011).

N. S. Erokhin and V. E. Zakharov. Generation of Strong Splashes of the Field of an Electromagnetic Wave during Reflectionless Blooming of a Layer of a Nonuniform Medium, Dokl. Phys., 56(7), 362-365 (2011).

2010

V.E. Zakharov and R.V. Shamin, Probability of the occurrence of freak waves, JETP Lett., 91/2, 62-65 (2010).

V.E. Zakharov, Energy balance in a wind-driven sea, Physica Scripta T142, 014052 (2010).

V.E. Zakharov, A.I. Dyachenko and R.V. Shamin, How probability for freak wave formation can be found, Eur. Phys. J. - Spec. Top., 185(1), 113-125 (2010).

V.E. Zakharov, Domination of nonlinear wave interaction in the energy balance of wind-driven sea, Low Temp. Phys., 36(8), 772-784 (2010).

V. Zakharov and A. Dyachenko, About shape of giant breather, Europ. J. Mech. B/Fluids, 29(2), 127-131 (2010).

V. Zakharov, Dynamics of vortex line in presence of stationary vortex, Theor. Comput. Fluid Dynamics, Special issue ”150 years of vortex dynamics”, 24(1-4), 377-382 (2010).

Works before 2010: Surface Waves Theory

1. V.E. Zakharov, A.O. Korotkevich, A.O. Prokofiev, On dissipation function of ocean waves due to whitecapping, AIP Conf. Proc., 1168, 1229-1231 (2009).

2. V.E. Zakharov, A.I. Dyachenko, A.O. Prokofiev, Freak waves: peculiarities of numerical simulations, In: Extreme Ocean Waves, 1-29 (2008) E.Pelinovsky and C.Harif (Eds), Springer, xiii,196 pp. ISBN 978-1-4020-8313-6.

3. F. Dias, A. Dyachenko, V. Zakharov, Theory of weakly damped free-surface flows: A new formulation based on potential flow solutions, Phys. Lett. A, 372(8), 1297-1302 (2008); arXiv:0704.3352.

4. S. Badulin, A. Korotkevich, D. Resio and V. Zakharov, Wave-wave interactions in wind-driven mixed sea, Proceedings of the Rogue waves 2008 Workshop, October 13-15, 2008, Brest, France, pp. 77-86.

5. A.I Dyachenko and V.E. Zakharov, On the formation of freak waves on the surface of deep water, JETP Lett., 88(5), 307-311 (2008).

6. A.O. Korotkevich, A.N. Pushkarev, D. Resio, V. Zakharov, Numerical verification of the weak turbulent model for swell Evolution, Eur. J. Mech. B/Fluids, 27(4), 361-387 (2008).

7. V.E. Zakharov, A.I. Dyachenko, Freak waves and giant breathers, ASME Conf. Proc. OMAE2008, Volume 2: Structures, Safety and Reliability, 1019-1024 (2008) [Proc. ASME 2008 27th Int. Conf. on Offshore Mechanics and Arctic Engineering (OMAE2008), June 1520, 2008, Estoril,

Portugal. ISBN: 978-0-7918-4819-7].

8. S.I. Badulin, A.V. Babanin, D. Resio and V.E. Zakharov, Weakly turbulent laws of wind-wave growth, J. Fluid Mech., 591, 339-378 (2007).

9. V. Zakharov, A.O. Korotkevich, A.N. Pushkarev, D. Resio, Coexistence of weak and strong wave turbulence in a swell Propagation, Phys. Rev. Lett., 99, 164501 (2007); arXiv:0705.2838.

10. A.O. Korotkevich, A.N. Pushkarev, D. Resio, V.E. Zakharov, Numerical verification of the Hasselmann equation, In: Tsunami and Nonlinear Waves, 135-172 (2007). Ed. by Anjan Kundu, Springer, 2007, xi,316 pp. ISBN: 978-3-540-71255-8; physics/0702034.

11. V.E. Zakharov, A.I. Dyachenko, A.O. Prokofiev, Freak waves as nonlinear stage of Stokes wave modulation instability, Eur. J. Mech. B/Fluids, 25(5), 677-692 (2006).

12. V.E. Zakharov, A.O. Korotkevich, A.N. Pushkarev and A.I. Dyachenko, Mesoscopic wave turbulence, JETP Lett., 82(8), 487-491 (2005); physics/0508155.

13. V.E. Zakharov, Theoretical interpretation of fetch limited wind-driven sea observations, Nonlin. Process. Geophys., 12 (6), 1011-1020 (2005).

14. S.I. Badulin, A.N. Pushkarev, D. Resio and V.E. Zakharov, Self-similarity of wind driven seas, Nonlin. Process. Geophys., 12(6), 891-945 (2005).

15. A.I. Dyachenko, V.E. Zakharov, Modulation instability of Stokes wave - freak wave, JETP Lett., 81(6), 255-259 (2005).

16. P.M. Lushnikov, V.E. Zakharov, On optimal canonical variables in the theory of ideal fluid with free surface, Physica D 203 (1-2), 9-29 (2005); Errata - Physica D 206 (3-4), 275-275 (2005); nlin/0410054.

17. S. I. Badulin, A. V. Babanin, D. Resio and V. Zakharov, Numerical verification of weakly turbulent law of wind wave growth // IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, Moscow, 25-30 August, 2006 / Ed. by A. V. Borisov, V.V. Kozlov, I. S. Mamaev, M. A. Sokolovskiy. Springer, 2008. Vol. 6 of IUTAM Bookseries. Pp. 175-190.

18. V. Zakharov, F. Dias, A. Pushkarev, One-dimensional wave turbulence, Physics Reports, 398 (1), 1-65 (2004).

19. A. Pushkarev, D. Resio, V. Zakharov, Second generation diffusion model of interacting gravity waves on the surface of deep fluid, Nonlin. Process Geophys., 11 (3), 329-342 (2004).

20. A.I. Dyachenko, A.O. Korotkevich, V.E. Zakharov, Weak turbulent Kolmogorov spectrum for surface gravity waves, Phys. Rev. Lett. 92, 134501 (2004); physics/0308099.

21. A.I. Dyachenko, A.O. Korotkevich, and V. Zakharov, Weak turbulence of gravity waves, JETP Lett., 77(10), 546-550 (2003); physics/0308101.

22. A.I. Dyachenko, A.O. Korotkevich, and V. Zakharov, Decay of the monochromatic capillary wave, JETP Lett., 77 (9), 477-481 (2003); physics/0308100.

23. A. Pushkarev, D. Resio, V. Zakharov, Weak turbulent approach to the wind-generated gravity sea waves, Physica D 184 (1-4), 29-63 (2003).

24. V.E. Zakharov, Theoretical interpretation of fetch limited observations of wind-driven sea, Proc. 7th Int. Workshop on Wave Hindcasting and Forecasting, Banff, Alberta, Canada, October 21- 25, 2002, 286-294.

25. I. Lavrenov, D. Resio, V. Zakharov, Numerical simulation of weak-turbulent Kolmogorov spectra in water surface waves, Proc. 7th Int. Workshop on Wave Hindcasting and Forecasting, Banff, Alberta, Canada, October 21-25, 2002.

26. S. Badulin, A. Pushkarev, D. Resio, V.E. Zakharov, Direct and inverse cascade of energy, momentum and wave action of wind-driven sea, Proc. 7th Int. Workshop on Wave Hindcasting and Forecasting, Banff, Alberta, Canada, October 21-25, 2002, 295-306.

27. V. Zakharov, A. Dyachenko, and O. Vasilyev, New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface, Eur. J. Mech. B/Fluids, 21(3), 283-291 (2002).

28. M. Onorato, A.R. Osborne, M. Serio, D. Resio, A. Pushkarev, V.E. Zakharov, C. Brandini, Freely decaying weak turbulence for sea surface gravity waves, Phys. Rev. Lett. 89, 144501 (2002) [4 pages]; nlin/0201017.

29. A. Pushkarev, V. Zakharov, Turbulence of capillary waves - theory and numerical simulation, Physica D, 135(1-2), 98-116 (2000).

30. A. Pushkarev, V. Zakharov, On conservation of the constants of motion in the models of nonlinear wave interaction, Preprints of 6th international workshop on wave hindcasting and forecasting, Monterey, California, November 6-10, 2000, Published by Meteorological Service of Canada, pp. 456–469.

31. V. Zakharov, Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid, Eur. J. Mech. B/Fluids, 18 (3), 327-344 (1999).

32. V. Zakharov and A. Pushkarev, Diffusion model of interacting gravity waves on the surface of deep fluid, Nonlin. Proc. Geophys., 6 (1), 1-10 (1999).

33. W. Perrie, V. Zakharov, The equilibrium range cascades of wind-generates waves, Eur. J. Meck. B/Fluids, 18 (3), 365-371 (1999).

34. V.E. Zakharov, Nonlinear Waves on Surface of Ideal Finite Depth Fluid, Amer. Math. Soc. Transl., 182(2), 167-197, (1998).

35. A. Pushkarev, V. Zakharov, Turbulence of capillary waves theory and numerical simulation, Advances in Fluid Mechanics 17, 111-132 (1997) [Nonlinear Ocean Waves, Chap.4. Ed. W. Perrie, WIT Press, 1997, 272 pp. ISBN: 978-1-85312-414-3].

36. V.E. Zakharov, Modeling of ocean storms on cryogenic installations, Proc. Conference on High-Reynolds Turbulence, Brookhaven, 1996. Ed. by R. Donelly, Springer-Verlag (1997).

37. A.I. Dyachenko, V.E. Zakharov, E.A. Kuznetsov, Nonlinear dynamics of the free surface of an ideal fluid, Plasma Phys. Repts., 22(10), 829-840 (1996).

38. A.N. Pushkarev, V.E. Zakharov, Turbulence of capillary waves, Phys. Rev. Lett. 76(18), 3320-3323 (1996).

39. V.E. Zakharov, A.I. Dyachenko, High-Jacobian approximation in the free surface dynamics of an ideal fluid, Physica D 98 (2-4), 652-664 (1996).

40. A.I. Dyachenko, V.E. Zakharov, Toward an integrable model of deep water, Phys. Lett. A 221 (1-2), 80-84 (1996).

41. A.I. Dyachenko, E.A. Kuznetsov, M.D. Spector, V.E. Zakharov, Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping), Phys. Lett. A 221 (1-2), 73-79 (1996).

42. A.I. Dyachenko, Y.V. Lvov, V.E. Zakharov, Five-wave interaction on the surface of deep fluid, Physica D 87 (1-4), 233-261 (1995).

43. A.I. Dyachenko, V.E. Zakharov, Is free-surface hydrodynamics an integrable system?, Phys. Lett. A 190 (2), 144-148 (1994).

44. E.A. Kuznetsov, M.D. Spector, V.E. Zakharov, Formation of singularities on the free surface of an ideal fluid, Phys. Rev. E 49 (2), 1283-1290 (1994).

45. E.A. Kuznetsov, M.D. Spector, V.E. Zakharov, Surface singularities of ideal fluid, Phys. Lett. A 182 (4-6), 387-393 (1993).

46. A.C. Newell, V.E. Zakharov, Rough sea foam, Phys. Rev. Lett. 69 (8), 11491151 (1992).

47. V.E. Zakharov, Direct and inverse cascade in wind-driven sea and wave breaking, Proc. IUTAM Meeting on Wave Breaking (Sydney, 1991), Eds. M.L. Banner and R.H.Y. Grimshaw, Springer-Verlag, Berlin, 1992, pp. 69-91.

48. V.E. Zakharov, Within and beyond the weak turbulence theory of wind generated waves, in ”Nonlinear Dynamics of Ocean Waves”, Proceedings of the Symposium, The Johns Hopkins University, Applied Physics Laboratory, 30-31 May, 1991, Eds. A. Brandt, S.E. Ramberg, M.F.

Shlesinger. World Scientific, 1992. pp. 46-54.

49. V.E. Zakharov, V.I. Shrira, On the formation of the directional spectrum of wind waves, Sov. Phys. JETP 71(6), 1091-1100 (1990).

50. V.E. Zakharov, O.Yu. Lavrova, Izv, Atm. Ocean. Phys., 21 (12), 1295-1298 (1985).

51. M.M. Zaslavski, V.E. Zakharov, The shape of the spectrum of energy containing components of the water surface in the weakly turbulent theory of wind waves, Izvestiya Atmospheric and Oceanic Physics, 19, 207-212 (1983).

52. M.M. Zaslavski, V.E. Zakharov, Dependence of wave parameters on the wind velocity, duration and its action and fetch in the weak-turbulence theory of wind waves, Izvestiya Atmospheric and Oceanic Physics, 19, 30-306 (1983).

53. M.M. Zaslavski, V.E. Zakharov, Ranges for generation and dissipation in the kinetic equation for a low-turbulence theory of wind waves, Izvestiya Atmospheric and Oceanic Physics, 18, 821-827 (1982).

54. M.M. Zaslavski, V.E. Zakharov, The kinetic equation and Kolmogorov spectra in the weak turbulence theory of wind waves, Izvestiya Atmospheric and Oceanic Physics, 18, 747-753 (1982).

55. M.M. Zaslavskii, V.E. Zakharov, The theory of wind wave forecast (in Russian), Doklady Akad. Nauk, 265 (3), 567-571 (1982).

56. V.E. Zakharov, A.V. Smilga, Quasi-one-dimensional weak turbulence spectra, Sov. Phys. JETP 54(4), 700-704 (1981).

57. V.E. Zakharov, Dynamics of a hurricane in the initial stage of its evolution (in Russian), Izv. AN USSR, Physics Atm. Ocean, 10 (9), 985-990 (1974).

58. V.E. Zakharov, V.G. Kharitonov, Instability of monochromatic waves on the surface of a liquid of arbitrary depth, Zh. Prikl. Mekh. Tekh. Fiz., (1970), No 5, 45-49; English: J. Appl. Mech. Tech. Phys., 11(5), 747-751 (1970/1973).

59. V.E. Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, Zh. Prikl. Mekh. Tekh. Fiz., 9(2), 86-94 (1968); English: J. Appl. Mech. Tech. Phys., 9(2), 190-194 (1968/1972)

60. V.E. Zakharov, N.N. Filonenko, Weak turbulence of capillary waves, Prikl. Mekh. Tekh. Fiz., 8(5), 62-67 (1967); English: J. Appl. Mech. Tech. Phys., 8(5), 37-40 (1967/1971).

61. V.E. Zakharov, The instability of waves in nonlinear dispersive media, ZhETP, 51(4), 1107-1114 (1966); English: Sov. Phys. JETP, 24, 740 (1967).

62. V.E. Zakharov, N.N. Filonenko, Energy spectrum for stochastic oscillations of the surface of liquid, Doclady Akad. Nauk SSSR, 170(6), 1292-1295 (1966); English: Sov. Phys. Dokl. 11, 881-884 (1967)

Works before 2010: Inverse Scattering Method and its Applications to the Field Theory and General Relativity

1. V.E. Zakharov, Application of inverse scattering transform to classical problems of differential geometry, Contemporary Mathematics, 301, 15-35 (2002).

2. L.V. Bogdanov, V.E. Zakharov, The Boussinesq equation revisited, Physica D 165 (3-4), 137- 162 (2002).

3. V.E. Zakharov, Integration of the Gauss-Codazzi equations, Theor. Math. Phys., 128(1), 946-956 (2001).

4. V. Zakharov, How classical physics helps mathematics, Geometric And Functional Analysis, Spec. Issue GAFA 2000. Visions in mathematics Towards 2000, Part 2, p.859-879. (Ed. By Alon, N. et al. Basel: Birkhuser) (2000).

5. V.E. Zakharov, Description of the n-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type, I: Integration of the Lam´e equations, Duke Math. J., 94(1), 103-139 (1998).

6. V.E. Zakharov, S.V. Manakov, Reductions in systems integrable by the method of the inverse scattering problem, Dokl. Math. 57(3), 471-474 (1998).

7. L.V. Bogdanov, V.E. Zakharov, Integrable (1+1)-dimensional systems and the Riemann problem with a shift, Inverse Problems, 10(4), 817-835 (1994).

8. L.V. Bogdanov, V.E. Zakharov, On some developments of the @-dressing method, Algebra I Analiz, 6(3), 40-58 (1994); [St. Petersburg Math. J., 6(3), 475-493 (1995)].

9. V.E. Zakharov, Dispersionless limit of integrable systems in (2+1)-dimensions, in Singular Limits of Dispersive waves (Lion, 1991), eds. N. Ercolani, I. Gabitov, D. Levermore, D. Serre; NATO Adv. Sci. Inst. Ser. B Phys., 320, Plenum, New York, 1994), pp. 165-175.

10. A.M. Balk, E.I. Shulmann, V.E. Zakharov, Conservation and scattering in nonlinear wave systems, in Important developments in soliton theory, eds. A. Fokas, V.E. Zakharov, Springer Series in Nonlinear Dynamics (Springer-Verlag, Berlin, 1993), pp. 375-404.

11. A.S. Fokas, V.E. Zakharov, The dressing method and nonlocal Riemann-Hilbert problems, J. Nonlinear Sci., 2(1), 109-134 (1992).

12. V.E. Zakharov, A.V. Balk, E.I. Schulman, Conservation and scattering in nonlinear wave systems, In: Development of the Theory of Integrability for 10 Years. Springer, 1992.

13. V.E. Zakharov, E.I. Schulman, Integrability of nonlinear systems and perturbation theory, In: What is integrability, Springer Ser. Nonlinear Dyn., 185-250 (1991).

14. L.V. Bogdanov, V.E. Zakharov, Decreasing solutions and dispersion laws in the (2n+1)-dimensional covering method, Algebra i Analiz, 3 (3), 49-56 (1991) [Russian]; St. Petersburg Math. J., 3(3), 533540 (1992).

15. V.E. Zakharov, On the dressing method, In: Inverse methods in action, Proc. Multicent. Meet., Montpellier/Fr. 1989 (Springer-Verlag, Berlin, 1990), 602-623 (1990).

16. V.E. Zakharov, E.I. Schulman, On additional motion invariants of classical Hamiltonian wave systems, Physica D 29 (3), 283-320 (1988).

17. S.P. Burtsev, V.E. Zakharov, A.V. Mikhailov, Inverse scattering method with variable spectral parameter, Theor. Math. Phys., 70(3), 227-240 (1987).

18. V.E. Zakharov, E.A. Kuznetsov, Multi-scaling expansion in the systems integrable by the inverse scattering transform, Physica D 28 (1-2), 220-221 (1987).

19. V.E. Zakharov, E.A. Kuznetsov, Multi-scale expansions in the theory of systems integrable by the inverse scattering transform, Physica D 18 (1-3), 455-463 (1986).

20. V.E. Zakharov, Shock waves propagating on solitons on the surface of a fluid, Izv. Vyssh. Uchebn. Zaved. Radiofizika, 29 (9) (1986), 1073–1079; Radiophysics and Quantum Electronics, 29(9), 813-817 (1986).

21. V.E. Zakharov, S.V. Manakov, Construction of higher-dimensional nonlinear integrable systems and of their solutions, Funct. Anal. Appl., 19(2), 89-101 (1985).

22. V.E. Zakharov, E.I. Shulman, The scattering matrix and the integrability of classical wave systems with an additional integral of motion, Sov. Phys. Dokl. 30(8), 671-672 (1985).

23. V.E. Zakharov, S.V. Manakov, Multidimensional nonlinear integrable systems and methods for constructing their solutions, Zap. Nauch. Sem. LOMI, 133 (Differential geometry, Lie groups and mechanics. VI), 77-91 (1984); English: J. Sov. Math., 31 (6), 3307-3316 (1985).

24. V.E. Zakharov, B.G. Konopelchenko, On the theory of recursion operator, Commun. Math. Phys., 94 (4), 483-509 (1984).

25. B.G. Konopelchenko, V.E. Zakharov, On the theory of recursion operators, Physica D 11 (3), 405-405 (1984).

26. V.E. Zakharov, Multidimensional integrable systems, Proc. Int. Congr. Math., August 16- 24, 1983,Warszawa 1983. Ed. by Z. Ciesielski, C. Olech, Czes?aw, North-Holland, Vol. 2, 1225-1243 (1984).

27. V.E. Zakharov, A.V. Mikhailov, Method of the inverse scattering problem with spectral parameter on an algebraic curve, Funct. Anal. Appl., 17(4), 247-251 (1983).

28. V.E. Zakharov, Lectures on the inverse scattering method, Hungarian Acad. Sci., Budapest, 1983, 58 pp.

29. V.E. Zakharov, Integrable systems in multidimensional spaces, Lect. Notes Phys., 153, 190-216 (1982) [Mathematical Problems in Theoretical Physics, Ed. R. Schrader et al, Springer, xii,429 pp, ISBN 978-3-540-11192-4].

30. V.E. Zakharov, E.I. Schulman, To the integrability of the system of two coupled nonlinear Schrodinger equations, Physica D 4 (2), 270-274 (1982).

31. V.E. Zakharov, Multidimensional integrable systems, Uspekhi Mat. Nauk, 37:2 (224), 261-261 (1982).

32. S.V. Manakov, V.E. Zakharov, Three-dimensional model of relativistic-invariant field theory, integrable by the Inverse Scattering Transform, Lett. Math. Phys., 5 (3), 247-253 (1981).

33. V.E. Zakharov, On the Benney equations, Physica D 3 (1-2), 193-202 (1981).

34. V.E. Zakharov, A.V. Mikhajlov, Variational principle for equations integrable by the inverse problem method, Funct. Anal. Appl., 14(1), 43-44 (1980)

35. V.E. Zakharov, Benney equations and quasiclassical approximation in the method of the inverse problem, Funct. Anal. Appl., 14(2), 89-98 (1980).

36. V.E. Zakharov, The inverse scattering method, Top. Curr. Phys. 17, 243-285 (1980) [Solitons, Ed. by R. Bullough, P.J. Caudrey. Springer-Verlag, 1980, xviii+389 pp].

37. V.E. Zakharov, E.I. Schulman, Degenerative dispersion laws, motion invariants and kinetic equations, Physica D 1 (2), 192-202 (1980).

38. V.E. Zakharov, A.V. Mikhailov, On the integrability of classical spinor models in two-dimensional space-time, Commun. Math. Phys., 74 (1), 21-40 (1980).

39. V.E. Zakharov, S.V. Manakov, Soliton theory, Sov. Sci. Rev. Sect. A: Physics reviews, vol.1, 133-190 (1979). Ed. Khalatnikov I.M., London, UK: Harwood Academic Publishers, 1979, xv+305 pp. ISBN: 3-7186-0004-8.

40. V. Belinsky, V. Zakharov, The Integration of Einstein’s Equations by the Method of Inverse Scattering and Exact Soliton Solutions, Sources of gravitational radiation: Proc. Workshop, Seattle, Wash., July 24-August 4, 1978. Cambridge University Press, 1979, p. 161-172.

41. V.A. Belinskii, V.E. Zakharov, Stationary gravitational solitons with axial symmetry, Sov. Phys. JETP 50(1), 1-9 (1979).

42. V.E. Zakharov, L.A. Takhtadzhyan, Equivalence of the nonlinear Schrodinger equation and the equation of a Heisenberg ferromagnet, Theor. Math. Phys., 38(1), 17-23 (1979).

43. V.A. Belinskii, V.E. Zakharov, Integration of the Einstein Equation by Means of the Inverse Scattering Problem Technique and Construction of Exact Soliton Solutions, Sov. Phys. JETP 48(6), 985-994 (1978).

44. V.E. Zakharov, A.B. Shabat, Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II., Funct. Anal. Appl., 13(3), 166-174 (1979).

45. V.E. Zakharov, A.V. Mikhailov, Relativistically invariant two-dimensional models of field theory which are integrable by means of the inverse scattering problem method, Sov. Phys. JETP 47(6), 1017-1027 (1978).

46. V.E. Zakharov, A.V. Mikhailov, Example of nontrivial interaction of solitons in two-dimensional classical field theory, JETP Lett., 27 (1), 42-46 (1978).

47. S.V. Manakov, V.E. Zakharov, L.A. Bordag, A.R. Its, V.B. Matveev, Two-dimensional solitons of the Kadomtsev-Petviashvili equation and their interaction, Phys. Lett. A 63 (3), 205-206 (1977).

48. A.A. Belavin, V.E. Zakharov, Yang-Mills equations as inverse scattering problem, Phys. Lett. B 73 (1), 53-57 (1978).

49. A.A. Belavin, V.E. Zakharov, Yang–Mills equations as inverse scattering problem, Lect. Notes Phys., 80, 229-234 (1978) [Mathematical Problems in Theoretical Physics, Ed.G. Dell’Antonio et al. Springer, vi,438 pp, ISBN 978-3-540-08853-0].

50. A.A. Belavin, V.E. Zakharov, Multidimensional method of the inverse scattering problem and duality equations for the Yang-Mills field, JETP Lett., 25(12), 567-570 (1977).

51. V.E. Zakharov, Exact solutions to the problem of the parametric interaction of three-dimensional wave packets, Sov. Phys. Dokl. 21(6), 322-323 (1976).

52. Inverse scattering method in the theory of waves in nonlinear media, in Theory of Elastisity in Media with Microstructure, ed. I.A. Kunih (Nauka, Moscow, 1975).

53. V.E. Zakharov, S V. Manakov, Asymptotic behavior of non-linear wave systems integrated by the inverse scattering method, Sov. Phys. JETP 44(1), 106-112 (1976).

54. V.E. Zakharov, S.V. Manakov, Generalization of the inverse scattering problem method, Theor. Math. Phys., 27(3), 485-487 (1976).

55. V.E. Zakharov, S.V. Manakov, The theory of resonance interaction of wave packets in nonlinear media, Eksper. Teoret. Fiz., 69 (5), 1654-1673 (1975); English: Sov. Phys. JETP, 42(5), 842–850 (1975).

56. V.E. Zakharov, Instability and nonlinear oscillations of solitons, JETP Lett., 22 (7), 172-173 (1975).

57. V.E. Zakharov, L.A. Takhtadzhyan, L.D. Faddeev, Complete description of solutions of the ’sine-Gordon’ equation, Dokl. Acad. Nauk SSSR, 219 (1974), 1334–1337; English: Sov. Phys. Dokl. 19(6), 824-826 (1974).

58. V.E. Zakharov, A.B. Shabat, A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I, Funk. Anal.Prilozh., 8 (1974) 43–53; English: Funct. Anal. Appl., 8(3), 226-235 (1974)

59. V.E. Zakharov, S.V. Manakov, On the complete integrability of a nonlinear Schrodinger equation, Theor. Math. Phys., 19(3), 551559 (1974)

60. V.E. Zakharov, On stochastization of one-dimensional chains of nonlinear oscillators, Sov. Phys. JETP 38(1), 108-110 (1974).

61. V.E. Zakharov, S.V. Manakov, Resonant interaction of wave packets in nonlinear media, JETP Lett., 18 (7), 243-245 (1973).

62. V.E. Zakharov, L.D. Faddeev, Korteweg-de Vries equation: A completely integrable Hamiltonian system, Funct. Anal. Appl., 5(4), 280-287 (1971).

63. V.E. Zakharov, Kinetic Equation for Solitons, Sov. Phys. JETP 33, 538-541 (1971).

Works before 2010: General Theory of Waves and Turbulence in Nonlinear Media

1. V.E. Zakharov, Turbulence in Integrable Systems, Studies in Appl. Math., 122(3), 219-234 (2009).

2. V.E. Zakharov and L.A. Ostrovsky, Modulation instability: The beginning. Physica D: Nonlinear Phenomena, 238(5), 540-548 (2009).

3. B. Rumpf, A.C. Newell, V.E. Zakharov, Turbulent Transfer of Energy by Radiating Pulses, Phys. Rev. Lett., 103, 074502 (2009).

4. A.C. Newell, V.E. Zakharov, The role of the generalized Phillips spectrum in wave turbulence, Phys. Lett. A 372(23), 4230-4233 (2008).

5. V.E. Zakharov, S.V. Nazarenko, Dynamics of the Bose-Einstein condensation, Physica D 201 (3-4), 203-211 (2005).

6. V.E. Zakharov, O.A. Vasilyev, A.I. Dyachenko, Kolmogorov spectra in one-dimensional weak turbulence, JETP Lett., 73 (2), 63-65 (2001).

7. F. Dias, P. Guyenne, V.E. Zakharov, Kolmogorov spectra of weak turbulence in media with two types of interacting waves, Phys. Lett. A 291 (2-3), 139-145 (2001).

8. V.E. Zakharov, P. Guyenne, A.N. Pushkarev, F. Dias, Wave turbulence in one-dimensional models, Physica D 152-153, 573-619 (2001).

9. V.E. Zakharov, P. Guyenne, A. Pushkarev, F. Dias, Turbulence of one-dimensional weakly nonlinear dispersive waves, Contemporary Mathematics 283, 107-116 (2001) [Milewski, Paul A. (ed.) et al., Advances in wave interaction and turbulence. Proc. AMS-IMS-SIAM joint summer

research conference on dispersive wave turbulence, Mount Holyoke College, South Hadley, MA, USA, June 11-15, 2000. Providence, RI: AMS, American Mathematical Society.].

10. P. Guyenne, V. Zakharov, A. Pushkarev, F. Dias, Turbulence d’ondes dans des modles unidimensionnels, C. R. de lAcadmie des Sciences - Series IIB - Mechanics, 328(10), 757-762 (2000).

11. E.A. Kuznetsov, V.E. Zakharov, Nonlinear coherent phenomena in continuous media, Lect. Notes Phys., 542, 3-45 (2000) [Nonlinear Science at the Dawn of the 21st Century, eds. P.L.Christiansen, M.P.Soerensen and A.C.Scott. Springer, xxii,458 pp., ISBN 978-3-540-66918-0].

12. V.E. Zakharov, Quasi-two-dimensional hydrodynamics and interaction of vortex tubes, Lect. Notes Phys., 536, 369-385 (1999) [Nonlinear MHD Waves and Turbulence, T. Passot and P.-L. Sulem (Eds.). Springer, x, 385 pp, ISBN 978-3-540-66697-4].

13. A.M. Balk, V.E. Zakharov, Stability of weak-turbulence Kolmogorov spectra, Amer. Math. Soc.

Transl. Ser. 2, Vol. 182, 31-82 (1998) [Nonlinear Waves and Weak Turbulence, Edited by: V. E. Zakharov, AMS, 1998, 197 pp., Hardcover, ISBN-10: 0-8218-4113-0, ISBN-13: 978-0-8218-4113-6].

14. V.E. Zakharov, Weakly nonlinear waves on the surface of an ideal finite depth fluid, Amer. Math. Soc. Transl. Ser. 2, Vol. 182, 167-197 (1998) [Nonlinear Waves and Weak Turbulence, Edited by: V. E. Zakharov, AMS, 1998, 197 pp., Hardcover, ISBN-10: 0-8218-4113-0, ISBN-13:

978-0-8218-4113-6].

15. V.E. Zakharov, E.A. Kuznetsov, Hamiltonian formalism for nonlinear waves, Phys. Usp., 40(11), 1087-1116 (1997).

16. V. Yakhot, V. Zakharov, Hidden conservation laws in hydrodynamics; energy and dissipation rate fluctuation spectra in strong turbulence, Physica D 64 (4), 379-394 (1993).

17. V.E. Zakharov, Turbulence in Hamiltonian systems, Progr. Nonlinear Diff. Equat. Appl., 11, 3-18 (1993) [Nonlinear waves and weak turbulence with applications in oceanography and condensed matter physics (Cleveland, OH, 1992), Birkhauser Boston, Boston, MA, 1993].

18. D.B. Duncan, J.C. Eilbeck, C.H. Walshaw, V.E. Zakharov, Solitary waves on a strongly anisotropic KP lattice, Phys. Lett. A 158 (3-4), 107-111 (1991).

19. A.M. Balk, V.E. Zakharov, Stability of Kolmogorov spectra of weak turbulence, in: Integrability and kinetic equations for solitons, Naukova Dumka, Kiev, 1990, pp. 417-472.

20. A.I. Dyachenko, V.E. Zakharov, A.N. Pushkarev, V.F. Shvets, V.V. Yankov, Soliton turbulence in nonintegrable wave systems, SoEksper. Teoret. Fiz., 96 (6), 2026-2031 (1989) [Russian]; Phys. JETP 69(6), 1144-1147 (1989).

21. V.E. Zakharov, A.N. Pushkarev, V.F. Shvets, V.V. Yankov, Soliton turbulence, JETP Lett., 48 (2), 83-87 (1988).

22. A.M. Balk, V.E. Zakharov, Stability of weak turbulence Kolmogorov spectra, In: Plasma theory and nonlinear and turbulent processes in physics, Proc. Int.Workshop, Kiev/USSR 1987.World Scientific Publishing Co., Singapore, 1988, Vol. 1, 359-376.

23. A.M. Balk, V.E. Zakharov, Stability of slightly turbulent Kolmogorov spectra, Doklady, 299 (5), 1112-1115 (1988); Sov. Phys. Dokl. 33(4), 270-272 (1988).

24. E.A. Kuznetzov, A.M. Rubenchik, V.E. Zakharov, Soliton stability, Modern Problems of Condensed Matter Sciences, Vol. 17, Solitons, eds. S.E. Trullinger, V.L. Pokrovskii, V.E. Zakharov (North Holland, 1986), pp. 503-554.

25. E.A. Kuznetsov, A.M. Rubenchik, V.E. Zakharov, Soliton stability in plasmas and hydrodynamics, Physics Reports, 142 (3), 103-165 (1986).

26. V.E. Zakharov, S.L. Musher, A.M. Rubenchik, Hamiltonian approach to the description of non-linear plasma phenomena, Physics Reports, 129 (5), 285-366 (1985).

27. V.E. Zakharov, E.A. Kuznetsov, Hamiltonian formalism for systems of hydrodynamic type, Sov. Sci. Rev., Sect. C, Math. Phys. Rev. 4, 167-220 (1984).

28. V.E. Zakharov, Kolmogorov spectra in weak turbulence problems, Handbook of plasma physics. Vol.2. Basic plasma physics II, pp. 3-36 (1984). Ed. by A.A. Galeev, R.N. Sudan, North-Holland, 1984, xiv+850 pp.

29. V.E. Zakharov, M.F. Ivanov, L.N. Shur, On anomalously slow stochastization in certain two-dimensional field theory models, JETP Lett., 30 (1), 34-39 (1979); Erratum ibid, 30(11), 711 (1979).

30. V.E. Zakharov, E.A. Kuznetsov, Kinetics of high- and low-frequency waves in nonlinear media, Sov. Phys. JETP 48(3), 458-462 (1978).

31. V.E. Zakharov, E.A. Kuznetzov, V.S. Lvov, Investigation of wave turbulence, In: Fundamental studies in Physics and Mathematics (Nauka, Novosibirsk, 1977), pp. 194-198.

32. V.E. Zakharov, V.S. Lvov, Statistical description of nonlinear wave fields, Izv. Vuzov, Radiofizika, 18(10), 1470-1487 (1975); English: Radiophysics and Quantum Electronics, 18(10), 1084-1097 (1975).

33. V.E. Zakharov, The Hamiltonian Formalism for waves in nonlinear media having dispersion, Radiophysics and Quantum Electronics, 17(4), 326-343 (1974).

34. V.E. Zakharov, E.A. Kuznetsov, Three-dimensional solitons, Sov. Phys. JETP 39(2), 285-286 (1974).

35. V.E. Zakharov, A.M. Rubenchik, Instability of waveguides and solitons in nonlinear media, Eksper. Teoret. Fiz. 65 (1973), 997–1002; English: Sov. Phys. JETP 38(3), 494-500 (1974).

36. V.E. Zakharov, S.L. Musher, Kolmogorov spectrum in a system of nonlinear oscillators, Doclady Akad. Nauk SSSR, 209 (1973), 1063–1065; English: Sov. Phys. Dokl. 18(4), 240-241 (1973).

37. V.E. Zakharov, A.M. Rubenchik, Nonlinear interaction of high-frequency and low-frequency waves, Prikl. Mekh. Tekh. Fiz., (1972), 5, 84–98; English: J. Appl. Mech. Tech. Phys., 13(5), 669-681 (1972/1974).

38. V.E. Zakharov, G.M. Zaslavskii, Decay instability of wave with randomly varying phase, ZhETF (1967).

39. V.E. Zakharov, Weak turbulence in media with a decay spectrum, Prikl. Mekh. Tekh. Fiz.,4, 35-39 (1965); English: J. Appl. Mech. Tech. Phys., 6(4), 22-24 (1965/1967).

40. V.E. Zakharov, A solvable model of weak turbulence, J. Appl. Mech. Tech. Phys., 6(1), 10-16 (1965).

41. V.E. Zakharov, On evolution of a wave packet in hydrodynamics with dispersion of sound, Prikl. Mekh. Tekh. Fiz., 3, 167 (1964).

Works before 2010: Nonlinear Optics

1. V.E. Zakharov, Generalized Hamiltonian Formalism in Nonlinear Optics, In: Soliton-driven Photonics, NATO ASI Series II, Vol. 31, 505-518 (2001). Eds. A.D. Boardman and A.P. Sukhorukov, Kluwer Academic Publishers, 2001.

2. V.E. Zakharov, S.V. Manakov, On propagation of short pulses in strong dispersion managed optical lines, JETP Lett., 70 (9), 578-582 (1999).

3. V.E. Zakharov, Propagation of Optical Pulses in Nonlinear Systems with Varying Dispersions, in ”Optical Solitons: Theoretical Challenge and Industrial Perspectives”, Eds. V. Zakharov, S. Wabnitz, Springer-Verlag, 1999, 73-90.

4. V.E. Zakharov and E.A. Kuznetsov, Optical solitons and quasisolitons, JETP, 86(5), 1035-1046 (1998).

5. A. Newell and V. Zakharov, Optical turbulence, Proceedings of the Conference on Weak and Strong Turbulence, (1993, Cargese, France), Ed. P. Tabeling, Plenum Press, 1994.

6. S. Dyachenko, A.C. Newell, A. Pushkarev, V.E. Zakharov, Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrdinger equation, Physica D 57 (1-2), 96-160 (1992).

7. N.E. Kosmatov, V.F. Shvets, V.E. Zakharov, Computer simulation of wave collapses in the nonlinear Schrodinger equation, Physica D 52 (1), 16-35 (1991).

8. V.E. Zakharov, V.F. Shvets, To the Theory of Critical Wave Collapse, Plasma Phenomena in the Solar Atmosphere, Proc. Int. Workshop on Plasma Phenomena in the Solar Atmosphere, July 10-15, 1989, lInstitut dEtudes Scietificques de Carghse, Corsica, France. Ed. by M. A.

Dubois, F. Bely-Dubau, D. Grsillon. Les Editions de Physique (France), 1990, p.103-106.

9. E.M. Gavrilov, V.E. Zakharov, A.N. Pushkarev, A.M. Rubenchik, V.F. Shvets, On Quasilinear Description of Electrons in Strong-Turbulent Processes, Plasma Phenomena in the Solar Atmosphere, Proc. Int. Workshop on Plasma Phenomena in the Solar Atmosphere, July 10-15,

1989, lInstitut dEtudes Scietificques de Carghse, Corsica, France. Ed. by M. A. Dubois, F. Bely-Dubau, D. Grsillon. Les Editions de Physique (France), 1990, p.107-110.

10. E.M. Gavrilov, A.I. Dyachenko, A.M. Rubenchik, V.F. Shvets, V.E. Zakharov, The Electron Acceleration by Collapsing Cavities, Plasma Phenomena in the Solar Atmosphere, Proc. Int. Workshop on Plasma Phenomena in the Solar Atmosphere, July 10-15, 1989, lInstitut dEtudes

Scietificques de Carghse, Corsica, France. Ed. by M. A. Dubois, F. Bely-Dubau, D. Grsillon. Les Editions de Physique (France), 1990, p.111-114.

11. V. Zakharov, N.E. Kosmatov and V.F. Shvets, Ultrastrong wave collapse, JETP Lett., 49 (8), 492-495 (1989).

12. V.F. Shvets, V.E. Zakharov, Computer simulation of wave collapses and wave turbulence, In: Nonlinear world, Proc. 4th Int. Workshop Nonlinear Turbul. Proc. Phys., Kiev/Ukr. 1989, Vol. 1, 671-692 (1990).

13. V.E. Zakharov, A.N. Pushkarev, R.Z. Sagdeev, G.I. Solov’ev, V.D. Shapiro, V.F. Shvets, V.I. Shevchenko, Through simulation of one-dimensional Langmuir turbulence, Sov. Phys. Dokl., 34(3), 248-251 (1989).

14. V.E. Zakharov, A.N. Pushkarev, A.M. Rubenchik, R.Z. Sagdeev, V.F. Shvets, Kinetics of three-dimensional Langmuir collapse, Sov. Phys. JETP 69(2), 334-341 (1989).

15. N.E. Kosmatov, V.F. Shvets, V.E. Zakharov, On the Wave Collapse in the Critical Case, Nonlinear Phenomena in Vlasov Plasmas, Proc. Int. Workshop on Nonlinear Phenomena in Vlasov Plasmas, July 11-16, 1988, lnstitut d’Etudes Scietificques de Carghse, Corsica, France.

Ed. by F. Doveil. Les Editions de Physique (France), 1989, p.135-138.

16. A.N. Pushkarev, A.M. Rubenchik, R.Z. Sagdeev, V.F. Shvets, V.E. Zakharov, The Final Stage of Three-Dimensional Langmuir Collapse, Nonlinear Phenomena in Vlasov Plasmas, Proc. Int. Workshop on Nonlinear Phenomena in Vlasov Plasmas, July 11-16, 1988, lInstitut d’Etudes

Scietificques de Carghse, Corsica, France. Ed. by F. Doveil. Les Editions de Physique (France), 1989, p.139-144.

17. V.E. Zakharov, Wave collapses, Sov. Phys. Usp., 31 (7), 672-674 (1988).

18. V.E. Zakharov, A.G. Litvak, E.I. Rakova, A.M. Sergeev, V.F. Shvets, Structural stability of wave collapse with a local instability, Eksper. Teoret. Fiz., 94 (5) (1988), 107–109; English: Sov. Phys. JETP, 67 (5), 925-927 (1988).

19. A.I. Dyachenko, V.E. Zakharov, A.M. Rubenchik, R.Z. Sagdeev, V.F. Shvets, Numerical simulation of two-dimensional Langmuir collapse, Sov. Phys. JETP 67(3), 513-519 (1988).

20. N.E. Kosmatov, I.V. Petrov, V.F. Shvets and V.E. Zakharov, Large amplitude simulation of wave collapses in nonlinear Schrodinger equations, Preprint No 1365, (1988), Space Research Institute (Moscow).

21. V.E. Zakharov, V.F. Shvets, Nature of wave collapse in the critical case, JETP Lett., 47 (4), 275-278 (1988)

22. V.E. Zakharov, A.N. Pushkarev, A.M. Rubenchik, R.Z. Sagdeev, V.F. Shvets, Final stage of 3D Langmuir collapse, JETP Lett., 47 (5), 287-291 (1988).

23. V.E. Zakharov, A.V. Mikhailov, Polarization domains in nonlinear optics, JETP Lett., 45 (6), 349-352 (1987).

24. V.E. Zakharov, E.A. Kuznetsov, S.L. Musher, Quasi classical regime of collapse in the three-dimensional nonlinear Schrodinger equation, Physica D 28 (1-2), 221-221 (1987).

25. V.E. Zakharov, E.A. Kuznetsov, Quasiclassical theory of three-dimensional wave collapse, Sov. Phys. JETP 64(4), 773-780 (1986).

26. V.E. Zakharov, E.A. Kuznetsov, S.L. Musher, Semiclassical regime of a three-dimensional wave collapse, JETP Lett., 41 (3), 154-156 (1985).

27. Gabitov, V.E. Zakharov, A.V. Mikhailov, Maxwell-Bloch equation and the inverse scattering method, Theor. Math. Phys., 63(1), 328-343 (1985).

28. I.P. Gabitov, V.E. Zakharov, A.V. Mikhailov, Non-linear theory of superfluorescence, Sov. Phys. JETP, 59(4), 703-709 (1984).

29. I.R. Gabitov, V.E. Zakharov, A.V. Mikhailov, Superfluorescence pulse shape, JETP Lett., 37 (5), 279-282 (1983).

30. V.E. Zakharov, Propagation of an amplifying pulse in a two-level medium, JETP Lett., 32(10), 589-593 (1980).

31. V.E. Zakharov, A.F. Mastryukov, V.S. Synakh, Self-focusing of wave packets in nonlinear media, Sov. J. Quantum Electron. 6(12), 1406-1409 (1976).

32. V.E. Zakharov, Exact solutions to the problem of the parametric interaction of three-dimensional wave packets, Sov. Phys. Dokl. 21(6), 322-323 (1976).

33. V.E. Zakharov, S.V. Manakov, The theory of resonance interaction of wave packets in nonlinear media, Sov. Phys. JETP 42(5), 842-850 (1975).

34. O.B. Budneva, V.E. Zakharov, V.S. Synakh, Certain models for wave collapse, Sov. J. Plasma Phys. 1(4), 335-338 (1975).

35. V.E. Zakharov, V.S. Synakh, The nature of the self-focusing singularity, Sov. Phys. JETP 41(3), 465-468 (1975).

36. V.E. Zakharov, S.V. Manakov, Exact theory of resonant interaction of wave packets in nonlinear media, Pisma Zh.ETF, 18 (1973), 413–414.

37. V.V. Sobolev, V.S. Synakh, V.E. Zakharov, Some numerical investigations in nonlinear optics, Computer Phys. Commun., 5(1), 48-50 (1973).

38. V.E. Zakharov, A.B. Shabat, Interaction between solitons in a stable medium, Sov. Phys. JETP, 37(5), 823-828 (1973).

39. V.E. Zakharov, V.V. Sobolev, V.S. Synakh, Breakdown of a monochromatic wave in a medium with an inertia-free nonlinearity, J. Appl. Mech. Tech. Phys., 13(1), 80-84 (1972/1974).

40. V.E. Zakharov, A.B. Shabat, Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Eksper. Teoret. Fiz., 61(1), 118-134 (1971); English: Sov. Phys. JETP, 34(1), 62-69 (1972).

41. V.E. Zakharov, Theory of Self-Focusing, Usp. Phys. Nauk, 107 (3), 509-510 (1972); English: Sov. Phys. Usp. 15(4), 518-519 (1973).

42. V.E. Zakharov, V.V. Sobolev, V.S. Synakh, Character of Singularity and Stochastic Phenomena in Self Focusing, JETP Lett., 14(10), 390-393 (1971).

43. V.E. Zakharov, V.V. Sobolev, V.C. Synakh, Behavior of Light Beams in Nonlinear Media, Sov. Phys. JETP 33, 77 (1971).

44. A.L. Berkhoer, V.E. Zakharov, Self-excitation of waves with different polarizations in nonlinear media, Sov. Phys. JETP, 31, 468 (1970).

45. V.E. Zakharov, Dissipative instability of a light wave in a nonlinear dielectric, JETP Lett., 7 (8), 226-228 (1968).

46. V.E. Zakharov, Instability of self-focusing of light, ZhETP, 53(5), 1735-1743 (1967); English: Sov. Phys. JETP, 26, 994-998 (1968).

Works before 2010: Plasma Physics

1. A.O. Korotkevich, A.C. Newell, V.E. Zakharov, Communication through plasma sheaths, J. Appl. Phys., 102, 083305 (2007); arXiv:0704.3103.

2. N.S. Erokhin, V.E. Zakharov, On transillumination of wave barriers for electromagnetic radiation in an inhomogeneous plasma, Dokl. Phys., 52(9), 485-487 (2007).

3. S.L. Musher, A.M. Rubenchik, V.E. Zakharov, Weak Langmuir turbulence, Physics Reports, 252 (4), 178-274 (1995).

4. S.V. Nazarenko, A.C. Newell, V.E. Zakharov, Communication through plasma sheaths via Raman (three-wave) scattering process, Phys. Plasmas 1(9), 2827-2834 (1994).

5. A.I. Dyachenko, A.N. Pushkarev, A.M. Rubenchik, R.Z. Sagdeev, V.F. Shvets, V.E. Zakharov, Computer simulation of Langmuir collapse, Physica D 52 (1), 78-102 (1991).

6. V.E. Zakharov, Preface. On wave collapses, Physica D 52 (1), vii-viii (1991).

7. A.M. Rubenchik, V.E. Zakharov, Strong Langmuir turbulence in laser plasma, Handbook of Plasma Physics, Vol. 3, eds. M.N. Rosenbluth, R.Z. Sagdeev (Elsevier Science Publishers, 1991), pp. 335-360.

8. "Throughout" modelling of the one-dimensional Langmuir turbulence, Sov. Phys. Dokl., 34 (1989), 248–251, (with A.N. Pushkarev, R.Z. Sagdeev, S.I. Soloviev, V.D. Shapiro, V.F. Shvets and V.I. Shevchenko).

9. Kinetics of the three-dimensional Langmuir collapse, Zh. Eksp. Teor. Fiz., 96 (1989), 591, (with A.N. Pushkarev, A.M. Rubenchik, R.Z. Sagdeev and V.F. Shvetz).

10. Numerical simulation of three-dimensional Langmuir collapse in plasma, Pisma Zh.ETF, 47 (1988), 287, (with A.N. Pushkarev, A.M. Rubenchik, R.Z. Sagdeev, and V.F. Shvetz).

11. V.E. Zakharov, Computer simulation of the Langmuir collapse of the isolated cavity, in: Plasma Theory and Nonlinear and Turbulent Processes in Physics. World Scientific Publishing Co., Singapore, 1988, Vol. 2, pp. 573-596.

12. Numerical simulation of two-dimensional Langmuir collapse,Sov. Phys. JETP, 67 (1988), 513–518, (with A.I. Dyachenko, A.M. Rubenchik, R.Z. Sagdeev and V.F. Shvets).

13. A.I. Dyachenko, V.E. Zakharov, A.M. Rubenchik, R.Z. Sagdeev, V.F. Shvets, Two-dimensional Langmuir collapse and two-dimensional Langmuir cavitons, JETP Lett., 44(11), 648-651 (1986).

14. A.M. Rubenchik, R.Z. Sagdeev, V.E. Zakharov, Collapse versus cavitons, Comments on Plasma Physics and Controlled Fusion, 9(5), 183-206 (1985).

15. Zh.A. Assalauov, V.E. Zakharov, Modulational instability and collapse of plasma waves in a magnetic field, Sov. J. Plasma Phys. 11(11), 762-766 (1985).

16. V.E. Zakharov, Collapse and self-focusing of Langmuir waves, Handbook of plasma physics. Vol.2. Basic plasma physics II, pp. 81-121 (1984). Ed. by A.A. Galeev, R.N. Sudan, North-Holland, 1984, xiv+850 pp.

17. L.M. Degtyarev, V.E. Zakharov, R.Z. Sagdeev, G.I. Solovev, V.D. Shapiro, V.I. Shevchenko, Stimulated processes in potassium vapor in the presence of a buffer gas, Sov. Phys. JETP, 58(4), 710-715 (1983).

18. S.I. Anisimov, M.A. Berezovskii, V.E. Zakharov, I.V. Petrov, A.M. Rubenchik, Numerical simulation of a Langmuir collapse, Sov. Phys. JETP, 57(6), 1192-1196 (1983).

19. S.I. Anisimov, M.A. Berezovskii, V.E. Zakharov, I.V. Petrov, M. F. Ivanov, A.M. Rubenchik, Computer simulation of the Langmuir collapse, Phys. Lett. A, 92, 32-34 (1982).

20. V.E. Zakharov, L.N. Shur, Self-similar regimes of wave collapse, Sov. Phys. JETP 54(6), 1064-1070 (1981).

21. Yu.S. Sigov, V.E. Zakharov, Strong turbulence and its computer simulation, J. Phys. Colloques, 40 (C7), 63-79 (1979).

22. V.E. Zakharov, V.S. Lvov, A.M. Rubenchik, Effect of modulation instability on the relaxation of a relativistic electron beam in a plasma, JETP Lett., 25 (1), 8-10 (1977).

23. L.M. Degtyarev, V.E. Zakharov, L.I. Rudakov, Dynamics of Langmuir collapse, Sov. J. Plasma Phys. 2(3), 240-246 (1976).

24. V.E. Zakharov, Plasma collapse in a magnetic field, JETP Lett., 21 (8), 221-222 (1975).

25. V.E. Zakharov, S.L. Musher, A.M. Rubenchik, Weak Langmuir turbulence of an isothermal plasma, Sov. Phys. JETP 42(1), 80-86 (1975).

26. V.E. Zakharov, A.F. Mastryukov, V.S. Synakh, Dynamics of plasma-wave collapse in a hot plasma, Sov. J. Plasma Phys. 1(4), 339-343 (1975).

27. L.M. Degtyarev, V.E. Zakharov, Supersonic collapse of Langmuir waves, JETP Lett., 21 (1), 4-5 (1975).

28. L.M. Degtyarev, V.E. Zakharov, Dipole character of the collapse of Langmuir waves, JETP Lett., 20 (6), 164-166 (1974).

29. V.E. Zakharov, A.F. Mastryukov, V.S. Synakh, Two-dimensional collapse of Langmuir waves, JETP Lett., 20 (1), 3-4 (1974).

30. L.M. Degtyarev, V.E. Zakharov, L.I. Rudakov, Two examples of Langmuir wave collapse, Sov. Phys. JETP 41(1), 57-61 (1975).

31. V.E. Zakharov, S.L. Musher, A.M. Rubenchik, Nonlinear stage of parametric wave excitation in a plasma, JETP Lett., 19 (5), 151-152 (1974).

32. B.N. Breizman, V.E. Zakharov, S.L. Musher, Kinetics of stimulated scattering of Langmuir waves by plasma ions, Sov. Phys. JETP, 37(4), 658-665 (1973).

33. V.E. Zakharov, Collapse of Langmuir waves, Sov. Phys. JETP 35(5), 908-914 (1972).

34. V.E. Zakharov, Hamiltonian formalism of hydrodynamic plasma models, Eksper. Teoret. Fiz., 60 (1971), 1714–1726; English: Sov. Phys. JETP 33(5), 927-933 (1971).

35. N.S. Erokhin, V.E. Zakharov, S.S. Moiseev, Second Harmonic Generation by an Electromagnetic Wave Incident on Inhomogeneous Plasma, Sov. Phys. JETP, 29(1), 101-105 (1969).

36. V.E. Zakharov,Weak-turbulence spectrum in a plasma without a magnetic field, ZhETP, 51(2), 688-696 (1966); English: Sov. Phys. JETP, 24, 455-459 (1967).

37. S.G. Alikhanov, V.E. Zakharov, G.L. Khorasanov, Plasma diffusion in a magnetic field due to coulomb collisions, J. Nucl. Energy C 5(5), 309-313 (1963).

38. V.E. Zakharov, V.I. Karpman, On the nonlinear theory of the damping of plasma waves, Eksper. Teoret. Fiz., 43(2), 490-499 (1962); English: Sov. Phys. JETP 16(2), 351-357 (1963).

Works before 2010: Hydrodynamics and Rossby Waves

1. A.M. Balk, V.E. Zakharov, Cascade generation of zonal flows by the drift wave turbulence, Phys. Lett. A 373(44), 4049-4052 (2009).

2. V.E. Zakharov, Quasi-Two-Dimensional Hydrodynamics and Interaction of Vortex Tubes, Lect. Notes Phys., 536, 369-385 (1999) [Nonlinear MHD Waves and Turbulence, T. Passot and P.-L. Sulem (Eds.). Springer, x, 385 pp, ISBN 978-3-540-66697-4].

3. V.S. Lvov, Yu. Lvov, A.C. Newell, V. Zakharov, Statistical description of acoustic turbulence, Phys. Rev. E 56 (1), 390-405 (1997); chao-dyn/9607007.

4. S.V. Nazarenko, V.E. Zakharov, The role of the convective modes and sheared variables in the Hamiltonian dynamics of uniform-shear-flow perturbations, Phys. Lett. A 191 (5-6), 403-408 (1994).

5. A.I. Dyachenko, S.V. Nazarenko, V.E. Zakharov, Wave-vortex dynamics in drift and _-plane turbulence, Phys. Lett. A 165 (4), 330-334 (1992).

6. S.V. Nazarenko, V.E. Zakharov, Kinetic equation for point vortices in a shear flow, Physica D 56 (4), 381-388 (1992).

7. E. Kuznetsov, A.C. Newell, V.E. Zakharov, Intermittency and turbulence, Phys. Rev. Lett. 67(23), 32433246 (1991).

8. A.M. Balk, S.V. Nazarenko, V.E. Zakharov, New invariant for drift turbulence, Phys. Lett. A 152 (5-6), 276-280 (1991).

9. V.E. Zakharov, On the Lie algebra of motion integrals for two-dimensional hydrodynamic equations in Clebsch variables, In: Mechanics, analysis and geometry: 200 years after Lagrange, 157-169 (1991). Ed. M.Frankaviglia, Elsevier Science Publisheres B.V., 1991, xi, 559 p. ISBN

0-444-88958-2.

10. A.M. Balk, S.V. Nazarenko, V.E. Zakharov, On the nonlocal turbulence of drift type waves, Phys. Lett. A 146 (4), 217-221 (1990).

11. A.M. Balk, V.E. Zakharov, S.V. Nazarenko, Nonlocal turbulence of drift waves, Sov. Phys. JETP 71(2), 249-260 (1990)

12. A.M. Balk, S.V. Nazarenko, V.E. Zakharov, On the structure of nonlocal drift turbulence, In: Generation of large-scale structures in continues media (Perm-Moscow, 1990).

13. A.M. Balk, S.V. Nazarenko, V.E. Zakharov, On the structure of Rossby waves turbulence in zonal flow, In: Generation of large-scale structures in continues media (Perm-Moscow, 1990).

14. A.M. Balk, V.E. Zakharov, Generation of structures by weak turbulence, In: Generation of large-scale structures in continues media (Perm-Moscow, 1990).

15. V.E. Zakharov, The algebra of integrals of motion of two-dimensional hydrodynamics in Clebsch variables, Funk. Anal. Prilozhen., 23 (3), 24-31 (1989); Funct. Anal. Appl., 23(3), 189-196 (1989).

16. V.E. Zakharov, L.I. Piterbarg, Canonical variables for Rossby waves and plasma drift waves, Phys. Lett. A 126 (8-9), 497-500 (1988).

17. V.E. Zakharov, A.S. Monin, L.I. Piterbarg, Hamiltonian formalism for the Rossby waves and dirft waves in plasma, In: Plasma theory and nonlinear and turbulent processes in physics, Proc. Int. Workshop, Kiev/USSR 1987, Pt. 2, 754-776 (1988).

18. V.E. Zakharov, A.S. Monin, L.I. Piterbarg, Hamiltonian description of Rossby-Blinova baroclinic waves, Doklady, 295(5), 1061-1064 (1987); Sov. Phys. Dokl., 32 (8), 626-627 (1987).

19. V.E. Zakharov, L.I. Piterbarg, Canonical variables for Rossby and drift waves in plasma, Doklady, 295 (1), 86-90 (1987); Sov. Phys. Dokl. 32(7), 560-561 (1987).

20. V.E. Zakharov, E.A. Kuznetsov, Variational principle and canonical variables in magnetohydrodynamics, Sov. Phys. Dokl. 15(10), 913-914 (1971).

21. V.E. Zakharov, R.Z. Sagdeev, Spectrum of acoustic turbulence, Sov. Phys. Dokl. 15 (5), 439-441 (1970).

Works before 2010: Nonlinear waves in ferromagnetics

1. V.E. Zakharov, V.S. Lvov, S.S. Starobinets, Spin-wave turbulence beyond the parametric excitation threshold, Sov. Phys. Usp. 17(6), 896-919 (1975).

2. V.E. Zakharov, V.S. Lvov, Parametric excitation of spin waves in ferromagnets with magnetic inhomogeneities, Fiz. Tverd. Tela, 14 (1972), 2913-29234 English: Sov. Phys. Solid State, 14(10), 2513-2519 (1973).

3. V.V. Zautkin, V.E. Zakharov, V.S. L’vov, S.L. Musher, S.S. Starobinets, Parallel pumping of spin waves in YIG mono-crystals, ZETPh, 62(5), 1782-1797 (1972); English: Sov. Phys. JETP 35 (5), 926-933 (1973).

4. V.E. Zakharov, V.S. Lvov, S.L. Musher, Transient behavior of a system of parametrically excited spin waves, Sov. Phys. Solid State, 14(3), 710-715 (1972).

5. V.E. Zakharov, V.S. Lvov, S.S. Starobinets, On non-stationary behavior of system of parametrically excited spin waves, Fiz. Tverd. Tela, 14 (1973), 832-838.

6. V.E. Zakharov, V.S. Lvov, S.S. Starobinets, Response to the comments of Ya.A. Monosov and V.I. Zubkov on our paper A new mechanism of limitation of the amplitude of spin waves in parallel pumping, Soviet Physics - Solid State, 13 (9), 2775-2777 (1971).

7. V.E. Zakharov, V.S. Lvov, Onset of turbulence during parametric excitation of waves, Sov. Phys. JETP 33(6), 1113-1119 (1971).

8. V.E. Zakharov, V.S. Lvov, S.S. Starobinets, Stationary nonlinear theory of parametric excitation of waves, ZhETP, 59 (4), 1200-1214 (1970); English: Sov. Phys. JETP 32(4), 656-663 (1971).

9. V.E. Zakharov, V.S. Lvov, S.S. Starobinets, Instability of monochromatic spin waves, Fiz. Tverd. Tela, 11 (10), 2924-2930 (1969).

10. V.E. Zakharov, V.S. Lvov, S.S. Starobinets, A new mechanism of limitation of the amplitude of spin waves in parallel pumping, Soviet Physics - Solid State, 11 (7), 2047-2049 (1969).

Books

1. S. Novikov, S.V. Manakov, L.P. Pitaevskij, V.E. Zakharov, Theory of solitons. The inverse scattering methods. Russian: Nauka, Moscow, 1980. English: Contemporary Soviet Mathematics. New York - London: Plenum Publishing Corporation. Consultants Bureau, 1984, xi+276 pp.

ISBN 0-306-10977-8.

2. S.V. Manakov, V.E. Zakharov (Eds.), Soliton theory. Proceedings of the Soviet-American Symposium held in Kiev, September 4-16, 1979, Physica D 3, No.1-2 (1981) [Amsterdam – New York: North-Holland Publishing Co. xiv, 438 pp (1981)].

3. Spectral transforms and solitons. Tools to solve and investigate nonlinear evolution equations, by F. Calogero, A. Degasperis, (editor of translation with a preface), Mir, Moscow, 1985.

4. Elements of soliton theory, by D.L. Lamb, (editor of translation with a preface), Mir, Moscow, 1983.

5. S.E. Trullinger, V.E. Zakharov, V.L. Pokrovskij (Eds.), Solitons, Modern Problems in Condensed Matter Sciences, Vol. 17. Amsterdam etc.: North-Holland. xvi, 899 p. (1986). ISBN 0-444-87002-4.

6. Solitons and the inverse scattering transform, by M. Ablovits and Kh. Sigur, (editor of translation with a preface), Mir, Moscow, 1987.

7. Wave collapses, Proceedings of the International Workshop on Wave Collapse Physics, Novosibirsk (March 20–27, 1988), Phys. D, 52 (1991), No. 1, North-Holland Publishing Co., Amsterdam, 1991, (editor).

8. V.G. Baryakhtar, V.M. Chernousenko, N.S. Erokhin, A.G. Sitenko, V.E. Zakharov (Eds.), Plasma theory and nonlinear and turbulent processes in physics. Vols. 1, 2. Proceedings of the international workshop, Kiev, USSR, 13-25 April 1987, Singapore: World Scientific Publishing,

xv, 998 p. (1988). ISBN 9971-50-546-0.

9. V.G. Baryakhtar, V.M. Chernousenko, N.S. Erokhin, A.G. Sitenko, V.E. Zakharov (Eds.), Nonlinear world. 4th international workshop on nonlinear and turbulent processes in physics, Kiev, USSR, 9-22 October, 1989. Vol. 1., Singapore etc.: World Scientific Publishing. xi, 723 p.

(1990). ISBN 981-02-0271-7.

10. V.G. Baryakhtar, V.M. Chernousenko, N.S. Erokhin, A.G. Sitenko, V.E. Zakharov (Eds.), Nonlinear world. 4th international workshop on nonlinear and turbulent processes in physics, Kiev, USSR, 9-22 October, 1989. Vol. 2, Singapore etc.: World Scientific Publishing. ix, p. 727-1518 (1990). ISBN 981-02-0272-5.

11. V.G. Baryakhtar, V.M. Chernousenko, V.E. Zakharov (Eds.), Integrability and kinetic equations for solitons [in Russian], Naukova Dumka, Kiev, 1990.

12. V.E. Zakharov (Ed.), What is integrability?, Springer Series in Nonlinear Dynamics. Berlin etc.: Springer-Verlag. xiv, 321 p. (1991). ISBN 3-540-51964-5.

13. V.E. Zakharov, V.S. Lvov, G. Falkovich, Kolmogorov spectra of turbulence I. Wave turbulence, Springer Series in Nonlinear Dynamics. Berlin: Springer-Verlag. xiii, 264 p. (1992). ISBN 3-540-54533-6.

14. A.S.Fokas, D.J. Kaup, A.C. Newell and V.E Zakharov (Eds.), Nonlinear Processes in Physics, Springer–Verlag, 1993.

15. A.S. Fokas, V.E. Zakharov (Eds.), Important developments in soliton theory, Springer Series in Nonlinear Dynamics. Berlin: Springer-Verlag. ix, 559 p. (1993). ISBN 3-540-55913-2.

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