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Zakharov, Vladimir Evgen’evich

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Author ID: zakharov.vladimir-e Recent zbMATH articles by "Zakharov, Vladimir Evgen’evich"
Published as: Zakharov, V. E.; Zakharov, Vladimir E.; Zakharov, V.; Zakharov, Vladimir
Homepage: http://math.arizona.edu/~zakharov/
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · GND
Documents Indexed: 136 Publications since 1962, including 13 Books
all top 5

Co-Authors

24 single-authored
17 D’yachenko, Aleksandr Ivanovich
11 Pushkarev, Andrei N.
10 Manakov, S. V.
6 Bogdanov, Leonid Vital’evich
6 Dyachenko, Sergey A.
6 Kuznetsov, Evgeniĭ Aleksandrovich
5 Badulin, Sergei Ilyich
5 Dias, Frédéric
5 Schulman, E. I.
5 Zakharov, Dmitry
4 Balk, Alexander M.
4 Bar’yakhtar, V. G.
4 Chernousenko, V. M.
4 Erokhin, N. S.
4 Guyenne, Philippe
4 Newell, Alan C.
4 Novikov, Sergeĭ Petrovich
3 Kachulin, Dmitriy I.
3 Korotkevich, Aleksandr Olegovich
3 Lushnikov, Pavel Mikhaĭlovich
3 Maslov, Viktor Pavlovich
3 Mikhailov, Alexander Vasil’evich
3 Piterbarg, Leonid I.
3 Shvets, V. F.
3 Sitenko, A. G.
3 Takhtajan, Leon Armenovich
2 Agafontsev, D. S.
2 Aref’eva, Irina Yaroslavna
2 Babanin, Alexander V.
2 Berezans’kyĭ, Yuriĭ Makarovych
2 Faddeev, Lyudvig Dmitrievich
2 Fokas, Athanassios S.
2 Gelash, A. A.
2 Khruslov, Eugene Yakovlevich
2 Kozlov, Valeriĭ Vasil’evich
2 L’vov, Victor S.
2 Mikhajlov, A. V.
2 Mytropol’skyĭ, Yuriĭ Oleksiĭovych
2 Nazarenko, Sergeĭ Vital’evich
2 Pitaevskii, Lev P.
2 Pogorelov, Alekseĭ Vasil’evich
2 Polyakov, Aleksandr Markovich
2 Prokofyev, Andrey O.
2 Resio, Donald T.
2 Sagdeev, Roald Z.
2 Semenov-Tian-Shansky, Michael A.
2 Shabat, Alekseĭ Borisovich
2 Shatashvili, Samson L.
2 Sinaĭ, Yakov Grigor’evich
1 Abanin, Aleksandr Vasil’evich
1 Askhabov, Sultan Nazhmudinovich
1 Bostanov, R. A.
1 Bukhshtaber, Viktor Matveevich
1 Burtsev, S. P.
1 Caulliez, Guillemette
1 Cisternino, Marco
1 Fal’kovich, G. E.
1 Fortov, Vladimir E.
1 Gurarii, V. P.
1 Hwang, Paul A.
1 Ibragimov, Il’dar Abdullovich
1 Karpman, V. I.
1 Kislyakov, Sergeĭ Vital’evich
1 Konopelchenko, Boris Georgievich
1 Korobeĭnik, Yuriĭ Fedorovich
1 Kosmatov, N. E.
1 Krichever, Igor’ Moiseevich
1 Kulish, Petr Petrovich
1 Kusraev, Anatoly Georgievich
1 Kutateladze, Semën Samsonovich
1 Lipatov, Lev N.
1 Lvov, Yuri V.
1 Marchenko, Vladimir Aleksandrovich
1 Maslov, Klavdii V.
1 Nabelek, Patrik V.
1 Odesskii, Alexander
1 Osipov, Yuriĭ Sergeevich
1 Ostrovskiĭ, Iosif Vladimirovich
1
1 Pastur, Leonid Andreevich
1 Perrie, William A.
1 Pokrovskiĭ, Valeriĭ Leonidovich
1 Reshetikhin, Nikolai Yu.
1 Resio, Don
1 Rofe-Beketov, Fedor Semenovich
1 Rubakov, Valery A.
1 Rubenchik, Alexander M.
1 Sklyanin, Evgeny K.
1 Smirnov, Fedor A.
1 Sokolov, I. A.
1 Soldatov, Aleksandr Pavlovich
1 Trullinger, S. E.
1 Umarkhadzhiev, Salaudin Musaevich
1 Umarov, Khasan Galsanovich
1 Vasilyev, Oleg A.
1 Velikhov, E. P.
1 Yakhot, Victor
1 Zhizhchenko, Alexey B.

Publications by Year

Citations contained in zbMATH Open

102 Publications have been cited 2,482 times in 1,928 Documents Cited by Year
Theory of solitons. The inverse scattering method. Transl. from the Russian. Zbl 0598.35002
Novikov, S.; Manakov, S. V.; Pitaevskii, L. P.; Zakharov, V. E.
530
1984
A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I. Zbl 0303.35024
Zakharov, V. E.; Shabat, A. B.
241
1974
Theory of solitons. The method of the inverse problem. (Теория солитонов. Метод обратной задачи.) Zbl 0598.35003
Zakharov, V. E.; Manakov, S. V.; Novikov, S. P.; Pitaevskiĭ, L. P.
164
1980
Kolmogorov spectra of turbulence I. Wave turbulence. Zbl 0786.76002
Zakharov, V. E.; L’vov, V. S.; Falkovich, G.
144
1992
Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II. Zbl 0448.35090
Zakharov, V. E.; Shabat, A. B.
141
1980
Korteweg-de Vries equation: a completely integrable Hamiltonian system. Zbl 0257.35074
Zakharov, V. E.; Faddeev, L. D.
93
1972
Construction of higher-dimensional nonlinear integrable systems and of their solutions. Zbl 0597.35115
Zakharov, V. E.; Manakov, S. V.
64
1985
Modulation instability: The beginning. Zbl 1157.37337
Zakharov, V. E.; Ostrovsky, L. A.
52
2009
Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation. Zbl 0767.35082
Dyachenko, S.; Newell, A. C.; Pushkarev, A.; Zakharov, V. E.
51
1992
Multi-scale expansions in the theory of systems integrable by the inverse scattering transform. Zbl 0611.35079
Zakharov, V. E.; Kuznetsov, E. A.
44
1986
To the integrability of the system of two coupled nonlinear Schrödinger equations. Zbl 1194.35435
Zakharov, V. E.; Schulman, E. I.
39
1982
Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions. Zbl 1217.76018
Dias, F.; Dyachenko, A. I.; Zakharov, V. E.
39
2008
New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface. Zbl 1016.76062
Zakharov, Vladimir E.; Dyachenko, Alexander I.; Vasilyev, Oleg A.
39
2002
Degenerative dispersion laws, motion invariants and kinetic equations. Zbl 1194.37162
Zakharov, V. E.; Schulman, E. I.
38
1980
Dispersionless limit of integrable systems in \(2+1\) dimensions. Zbl 0852.35130
Zakharov, V. E.
36
1994
Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid. Zbl 0960.76014
Zakharov, V.
35
1999
Is free-surface hydrodynamics an integrable system? Zbl 0961.76511
D’yachenko, A. I.; Zakharov, V. E.
32
1994
On the complete integrability of a nonlinear Schrödinger equation. Zbl 0298.35016
Zakharov, V. E.; Manakov, S. V.
29
1975
Inverse scattering method with variable spectral parameter. Zbl 0639.35074
Burtsev, S. P.; Zakharov, V. E.; Mikhajlov, A. V.
28
1987
Description of the \(n\)-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I: Integration of the Lamé equations. Zbl 0963.37068
Zakharov, Vladimir E.
26
1998
On the theory of recursion operator. Zbl 0594.35080
Zakharov, V. E.; Konopelchenko, B. G.
26
1984
Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051
Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D.
24
1974
Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability. Zbl 1343.37069
Gelash, A. A.; Zakharov, V. E.
24
2014
The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032
Fokas, A. S.; Zakharov, V. E.
23
1992
Important developments in soliton theory. Zbl 0801.00009
Fokas, A. S. (ed.); Zakharov, V. E. (ed.)
23
1993
What is integrability? Zbl 0724.00014
Zakharov, Vladimir E. (ed.)
23
1991
Benney equations and quasiclassical approximation in the method of the inverse problem. Zbl 0453.35086
Zakharov, V. E.
20
1980
Freak waves as nonlinear stage of Stokes wave modulation instability. Zbl 1101.76016
Zakharov, V. E.; Dyachenko, A. I.; Prokofiev, A. O.
19
2006
On the Benney equations. Zbl 1194.35338
Zakharov, V. E.
17
1981
Turbulence of capillary waves – theory and numerical simulation. Zbl 0960.76039
Pushkarev, A. N.; Zakharov, V. E.
17
2000
Variational principle for equations integrable by the inverse problem method. Zbl 0473.35075
Zakharov, V. E.; Mikhajlov, A. V.
17
1980
Computer simulation of wave collapses in the nonlinear Schrödinger equation. Zbl 0735.76085
Kosmatov, N. E.; Shvets, V. F.; Zakharov, V. E.
17
1991
The Boussinesq equation revisited. Zbl 0997.35068
Bogdanov, L. V.; Zakharov, V. E.
16
2002
Turbulence in integrable systems. Zbl 1178.37099
Zakharov, Vladimir E.
15
2009
Integrability of nonlinear systems and perturbation theory. Zbl 0807.35107
Zakharov, V. E.; Schulman, E. I.
15
1991
Stability of weak-turbulence Kolmogorov spectra. Zbl 0898.76047
Balk, A. M.; Zakharov, V. E.
14
1998
Weakly nonlinear waves on the surface of an ideal finite depth fluid. Zbl 0914.76015
Zakharov, V. E.
14
1998
Wave turbulence in one-dimensional models. Zbl 0986.76032
Zakharov, V. E.; Guyenne, P.; Pushkarev, A. N.; Dias, F.
13
2001
On additional motion invariants of classical Hamiltonian wave systems. Zbl 0651.35080
Zakharov, V. E.; Schulman, E. I.
13
1988
Weak turbulent approach to the wind-generated gravity sea waves. Zbl 1098.76519
Pushkarev, A.; Resio, D.; Zakharov, V.
12
2003
Multidimensional nonlinear integrable systems and methods for constructing their solutions. Zbl 0582.35111
Zakharov, V. E.; Manakov, S. V.
12
1985
Über die vollständige Integrabilität der nichtlinearen Schrödingergleichung. Zbl 0293.35025
Zakharov, V. E.; Manakov, S. V.
11
1974
Five-wave interaction on the surface of deep fluid. Zbl 1194.76026
Dyachenko, A. I.; Lvov, Y. V.; Zakharov, V. E.
11
1995
Numerical verification of the weak turbulent model for swell evolution. Zbl 1143.76028
Korotkevich, A. O.; Pushkarev, A.; Resio, D.; Zakharov, V. E.
11
2008
On the dressing method. Zbl 0717.58022
Zakharov, V. E.
10
1990
The role of the generalized Phillips’ spectrum in wave turbulence. Zbl 1221.76047
Newell, A. C.; Zakharov, V. E.
9
2008
Hidden conservation laws in hydrodynamics; energy and dissipation rate fluctuation spectra in strong turbulence. Zbl 0769.76027
Yakhot, Victor; Zakharov, Vladimir
9
1993
Spectrum of acoustic turbulence. Zbl 0223.76042
Zakharov, V. E.; Sagdeev, R. Z.
9
1970
Integrable turbulence and formation of rogue waves. Zbl 1330.35391
Agafontsev, D. S.; Zakharov, V. E.
9
2015
Hamiltonian formalism for systems of hydrodynamic type. Zbl 0557.76008
Zakharov, V. E.; Kuznetsov, E. A.
9
1984
Dynamics of the Bose-Einstein condensation. Zbl 1067.81029
Zakharov, Vladimir E.; Nazarenko, Sergey V.
8
2005
High-Jacobian approximation in the free surface dynamics of an ideal fluid. Zbl 0899.76069
Zakharov, V. E.; Dyachenko, A. I.
7
1996
Die Benneyschen Gleichungen und eine quasiklassische Approximation in der Methode eines inversen Problems. Zbl 0434.35084
Zakharov, V. E.
7
1980
Generalization of the inverse scattering problem method. Zbl 0413.47006
Zakharov, V. E.; Manakov, S. V.
7
1977
Weakly turbulent laws of wind-wave growth. Zbl 1168.76332
Badulin, Sergei I.; Babanin, Alexander V.; Zakharov, Vladimir E.; Resio, Donald
7
2007
Bounded solutions of KdV and non-periodic one-gap potentials in quantum mechanics. Zbl 1382.37071
Zakharov, Dmitry V.; Dyachenko, Sergey A.; Zakharov, Vladimir E.
7
2016
Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface. Zbl 1415.76050
Dyachenko, A. I.; Lushnikov, P. M.; Zakharov, V. E.
6
2019
Nonlinear waves and weak turbulence. Transl. from the Russian. Zbl 0879.00029
Zakharov, V. E. (ed.)
6
1998
Exact solutions to the problem of the parametric interaction of three- dimensional wave packets. Zbl 0363.35024
Zakharov, V. E.
5
1976
About shape of giant breather. Zbl 1193.76029
Zakharov, V. E.; Dyachenko, A. I.
5
2010
Integrable turbulence generated from modulational instability of cnoidal waves. Zbl 1406.35342
Agafontsev, D. S.; Zakharov, V. E.
5
2016
Primitive potentials and bounded solutions of the KdV equation. Zbl 1415.37096
Dyachenko, S.; Zakharov, D.; Zakharov, V.
4
2016
Solitons. Zbl 0645.76002
Trullinger, S. E. (ed.); Zakharov, V. E. (ed.); Pokrovskij, V. L. (ed.)
4
1986
Application of inverse scattering method to problems of differential geometry. Zbl 1032.35164
Zakharov, V.
4
2002
Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion. Zbl 1419.76065
Dyachenko, A. I.; Dyachenko, S. A.; Lushnikov, P. M.; Zakharov, V. E.
4
2019
Toward an integrable model of deep water. Zbl 0972.76508
Dyachenko, A. I.; Zakharov, V. E.
3
1996
Reductions in systems integrable by the method of the inverse scattering problem. Zbl 0961.35157
Zakharov, V. E.; Manakov, S. V.
3
1998
Conservation and scattering in nonlinear wave systems. Zbl 0832.35134
Zakharov, V.; Balk, A.; Schulman, E.
3
1993
Nonlinear coherent phenomena in continuous media. Zbl 1106.35330
Kuznetsov, E. A.; Zakharov, V. E.
3
2000
Canonical variables for Rossby and drift waves in plasma. Zbl 0642.76130
Zakharov, V. E.; Piterbarg, L. I.
3
1987
Kinetic equation for point vortices in a shear flow. Zbl 0755.35095
Nazarenko, S. V.; Zakharov, V. E.
3
1992
On energy balance in wind-driven seas. Zbl 1274.86010
Zakharov, V. E.; Badulin, S. I.
3
2011
A dynamic equation for water waves in one horizontal dimension. Zbl 1258.76037
Dyachenko, A. I.; Zakharov, V. E.
3
2012
Numerical simulation of surface waves instability on a homogeneous grid. Zbl 1364.76030
Korotkevich, Alexander O.; Dyachenko, Alexander I.; Zakharov, Vladimir E.
3
2016
Non-periodic one-dimensional ideal conductors and integrable turbulence. Zbl 1366.81160
Zakharov, Dmitry V.; Zakharov, Vladimir E.; Dyachenko, Sergey A.
3
2016
Stability of weak turbulence Kolmogorov spectra. Zbl 0695.76026
Balk, A. M.; Zakharov, V. E.
3
1988
Quasi-two-dimensional hydrodynamics and interaction of vortex tubes. Zbl 0947.76011
Zakharov, V. E.
2
1999
The integration of Einstein’s equations, by the method of inverse scattering, and exact soliton solutions. Zbl 0414.76098
Belinsky, V.; Zakharov, V.
2
1979
Wave turbulence in one-dimensional models. (Turbulence d’ondes dans des modèles unidimensionnels.) Zbl 1003.76040
Guyenne, Philippe; Zakharov, Vladimir; Pushkarev, Andrei; Dias, Frédéric
2
2000
Computer simulation of Langmuir collapse. Zbl 0735.76084
Dyachenko, A. I.; Pushkarev, A. N.; Rubenchik, A. M.; Sagdeev, R. Z.; Shvets, V. F.; Zakharov, V. E.
2
1991
On optimal canonical variables in the theory of ideal fluid with free surface. Zbl 1070.35035
Lushnikov, Pavel M.; Zakharov, Vladimir E.
2
2005
Probability distribution functions of freak waves: nonlinear versus linear model. Zbl 1348.35184
Dyachenko, Alexander I.; Kachulin, Dmitriy I.; Zakharov, Vladimir E.
2
2016
On the nonlinear theory of the damping of plasma waves. Zbl 0132.23005
Zakharov, V. E.; Karpman, V. I.
2
1962
Universality of sea wave growth and its physical roots. Zbl 1382.76036
Zakharov, Vladimir E.; Badulin, Sergei I.; Hwang, Paul A.; Caulliez, Guillemette
2
2015
Variational principle and canonical variables in magnetohydrodynamics. Zbl 0217.56603
Zakharov, V. E.; Kuznetsov, E. A.
2
1970
Super compact equation for water waves. Zbl 1460.76092
Dyachenko, A. I.; Kachulin, D. I.; Zakharov, V. E.
2
2017
Freak waves: peculiarities of numerical simulations. Zbl 1191.76065
Zakharov, V. E.; Dyachenko, A. I.; Prokofiev, A. O.
1
2008
The nonlinear Schrödinger equation. Proceedings of the conference held in Chernogolovka, July 25–August 3, 1994. Zbl 1194.00094
Mikhailov, A. V.; Kuznetsov, E. A.; Newell, A. C.; Zakharov, V. E.
1
1995
Non-periodic one-gap potentials in quantum mechanics. Zbl 1402.35266
Zakharov, Dmitry; Zakharov, Vladimir
1
2018
The equilibrium range cascades of wind-generated waves. Zbl 0944.76009
Perrie, William; Zakharov, Vladimir
1
1999
Integrable \((1+1)\)-dimensional systems and the Riemann problem with a shift. Zbl 0811.35094
Bogdanov, L. V.; Zakharov, V. E.
1
1994
Hamiltonian description of baroclinic Rossby waves. Zbl 0642.76030
Zakharov, V. E.; Monin, A. S.; Piterbarg, L. I.
1
1987
Integration of the Gauss-Codazzi equations. Zbl 0998.53004
Zakharov, V. E.
1
2001
The algebra of integrals of motion of two-dimensional hydrodynamics in Clebsch variables. Zbl 0850.76007
Zakharov, V. E.
1
1989
Decreasing solutions and dispersion laws in the \((2n+1)\)-dimensional dressing method. Zbl 0791.35110
Bogdanov, L. V.; Zakharov, V. E.
1
1991
Quasibreathers in the MMT model. Zbl 1308.76045
Pushkarev, A.; Zakharov, V. E.
1
2013
Transparency of strong gravitational waves. Zbl 1286.53024
Hadad, Y.; Zakharov, V.
1
2014
Five-wave classical scattering matrix and integrable equations. Zbl 1308.76043
Zakharov, V. E.; Odesskii, A. V.; Cisternino, M.; Onorato, M.
1
2014
Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030
Aref’eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L.
1
2014
Method of the inverse scattering problem with spectral parameter on an algebraic curve. Zbl 0596.35120
Zakharov, V. E.; Mikhaĭlov, A. V.
1
1983
Primitive solutions of the Korteweg-de Vries equation. Zbl 1456.37071
Dyachenko, S. A.; Nabelek, P.; Zakharov, D. V.; Zakharov, V. E.
1
2020
Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface. Zbl 1415.76050
Dyachenko, A. I.; Lushnikov, P. M.; Zakharov, V. E.
6
2019
Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion. Zbl 1419.76065
Dyachenko, A. I.; Dyachenko, S. A.; Lushnikov, P. M.; Zakharov, V. E.
4
2019
Non-periodic one-gap potentials in quantum mechanics. Zbl 1402.35266
Zakharov, Dmitry; Zakharov, Vladimir
1
2018
Super compact equation for water waves. Zbl 1460.76092
Dyachenko, A. I.; Kachulin, D. I.; Zakharov, V. E.
2
2017
Bounded solutions of KdV and non-periodic one-gap potentials in quantum mechanics. Zbl 1382.37071
Zakharov, Dmitry V.; Dyachenko, Sergey A.; Zakharov, Vladimir E.
7
2016
Integrable turbulence generated from modulational instability of cnoidal waves. Zbl 1406.35342
Agafontsev, D. S.; Zakharov, V. E.
5
2016
Primitive potentials and bounded solutions of the KdV equation. Zbl 1415.37096
Dyachenko, S.; Zakharov, D.; Zakharov, V.
4
2016
Numerical simulation of surface waves instability on a homogeneous grid. Zbl 1364.76030
Korotkevich, Alexander O.; Dyachenko, Alexander I.; Zakharov, Vladimir E.
3
2016
Non-periodic one-dimensional ideal conductors and integrable turbulence. Zbl 1366.81160
Zakharov, Dmitry V.; Zakharov, Vladimir E.; Dyachenko, Sergey A.
3
2016
Probability distribution functions of freak waves: nonlinear versus linear model. Zbl 1348.35184
Dyachenko, Alexander I.; Kachulin, Dmitriy I.; Zakharov, Vladimir E.
2
2016
Integrable turbulence and formation of rogue waves. Zbl 1330.35391
Agafontsev, D. S.; Zakharov, V. E.
9
2015
Universality of sea wave growth and its physical roots. Zbl 1382.76036
Zakharov, Vladimir E.; Badulin, Sergei I.; Hwang, Paul A.; Caulliez, Guillemette
2
2015
Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability. Zbl 1343.37069
Gelash, A. A.; Zakharov, V. E.
24
2014
Transparency of strong gravitational waves. Zbl 1286.53024
Hadad, Y.; Zakharov, V.
1
2014
Five-wave classical scattering matrix and integrable equations. Zbl 1308.76043
Zakharov, V. E.; Odesskii, A. V.; Cisternino, M.; Onorato, M.
1
2014
Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030
Aref’eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L.
1
2014
Quasibreathers in the MMT model. Zbl 1308.76045
Pushkarev, A.; Zakharov, V. E.
1
2013
A dynamic equation for water waves in one horizontal dimension. Zbl 1258.76037
Dyachenko, A. I.; Zakharov, V. E.
3
2012
On energy balance in wind-driven seas. Zbl 1274.86010
Zakharov, V. E.; Badulin, S. I.
3
2011
About shape of giant breather. Zbl 1193.76029
Zakharov, V. E.; Dyachenko, A. I.
5
2010
Modulation instability: The beginning. Zbl 1157.37337
Zakharov, V. E.; Ostrovsky, L. A.
52
2009
Turbulence in integrable systems. Zbl 1178.37099
Zakharov, Vladimir E.
15
2009
Cascade generation of zonal flows by the drift wave turbulence. Zbl 1234.86001
Balk, Alexander M.; Zakharov, Vladimir E.
1
2009
Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions. Zbl 1217.76018
Dias, F.; Dyachenko, A. I.; Zakharov, V. E.
39
2008
Numerical verification of the weak turbulent model for swell evolution. Zbl 1143.76028
Korotkevich, A. O.; Pushkarev, A.; Resio, D.; Zakharov, V. E.
11
2008
The role of the generalized Phillips’ spectrum in wave turbulence. Zbl 1221.76047
Newell, A. C.; Zakharov, V. E.
9
2008
Freak waves: peculiarities of numerical simulations. Zbl 1191.76065
Zakharov, V. E.; Dyachenko, A. I.; Prokofiev, A. O.
1
2008
Weakly turbulent laws of wind-wave growth. Zbl 1168.76332
Badulin, Sergei I.; Babanin, Alexander V.; Zakharov, Vladimir E.; Resio, Donald
7
2007
Freak waves as nonlinear stage of Stokes wave modulation instability. Zbl 1101.76016
Zakharov, V. E.; Dyachenko, A. I.; Prokofiev, A. O.
19
2006
Dynamics of the Bose-Einstein condensation. Zbl 1067.81029
Zakharov, Vladimir E.; Nazarenko, Sergey V.
8
2005
On optimal canonical variables in the theory of ideal fluid with free surface. Zbl 1070.35035
Lushnikov, Pavel M.; Zakharov, Vladimir E.
2
2005
Weak turbulent approach to the wind-generated gravity sea waves. Zbl 1098.76519
Pushkarev, A.; Resio, D.; Zakharov, V.
12
2003
New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface. Zbl 1016.76062
Zakharov, Vladimir E.; Dyachenko, Alexander I.; Vasilyev, Oleg A.
39
2002
The Boussinesq equation revisited. Zbl 0997.35068
Bogdanov, L. V.; Zakharov, V. E.
16
2002
Application of inverse scattering method to problems of differential geometry. Zbl 1032.35164
Zakharov, V.
4
2002
Wave turbulence in one-dimensional models. Zbl 0986.76032
Zakharov, V. E.; Guyenne, P.; Pushkarev, A. N.; Dias, F.
13
2001
Integration of the Gauss-Codazzi equations. Zbl 0998.53004
Zakharov, V. E.
1
2001
Turbulence of capillary waves – theory and numerical simulation. Zbl 0960.76039
Pushkarev, A. N.; Zakharov, V. E.
17
2000
Nonlinear coherent phenomena in continuous media. Zbl 1106.35330
Kuznetsov, E. A.; Zakharov, V. E.
3
2000
Wave turbulence in one-dimensional models. (Turbulence d’ondes dans des modèles unidimensionnels.) Zbl 1003.76040
Guyenne, Philippe; Zakharov, Vladimir; Pushkarev, Andrei; Dias, Frédéric
2
2000
Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid. Zbl 0960.76014
Zakharov, V.
35
1999
Quasi-two-dimensional hydrodynamics and interaction of vortex tubes. Zbl 0947.76011
Zakharov, V. E.
2
1999
The equilibrium range cascades of wind-generated waves. Zbl 0944.76009
Perrie, William; Zakharov, Vladimir
1
1999
Description of the \(n\)-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I: Integration of the Lamé equations. Zbl 0963.37068
Zakharov, Vladimir E.
26
1998
Stability of weak-turbulence Kolmogorov spectra. Zbl 0898.76047
Balk, A. M.; Zakharov, V. E.
14
1998
Weakly nonlinear waves on the surface of an ideal finite depth fluid. Zbl 0914.76015
Zakharov, V. E.
14
1998
Nonlinear waves and weak turbulence. Transl. from the Russian. Zbl 0879.00029
Zakharov, V. E.
6
1998
Reductions in systems integrable by the method of the inverse scattering problem. Zbl 0961.35157
Zakharov, V. E.; Manakov, S. V.
3
1998
High-Jacobian approximation in the free surface dynamics of an ideal fluid. Zbl 0899.76069
Zakharov, V. E.; Dyachenko, A. I.
7
1996
Toward an integrable model of deep water. Zbl 0972.76508
Dyachenko, A. I.; Zakharov, V. E.
3
1996
Five-wave interaction on the surface of deep fluid. Zbl 1194.76026
Dyachenko, A. I.; Lvov, Y. V.; Zakharov, V. E.
11
1995
The nonlinear Schrödinger equation. Proceedings of the conference held in Chernogolovka, July 25–August 3, 1994. Zbl 1194.00094
Mikhailov, A. V.; Kuznetsov, E. A.; Newell, A. C.; Zakharov, V. E.
1
1995
Dispersionless limit of integrable systems in \(2+1\) dimensions. Zbl 0852.35130
Zakharov, V. E.
36
1994
Is free-surface hydrodynamics an integrable system? Zbl 0961.76511
D’yachenko, A. I.; Zakharov, V. E.
32
1994
Integrable \((1+1)\)-dimensional systems and the Riemann problem with a shift. Zbl 0811.35094
Bogdanov, L. V.; Zakharov, V. E.
1
1994
Important developments in soliton theory. Zbl 0801.00009
Fokas, A. S.; Zakharov, V. E.
23
1993
Hidden conservation laws in hydrodynamics; energy and dissipation rate fluctuation spectra in strong turbulence. Zbl 0769.76027
Yakhot, Victor; Zakharov, Vladimir
9
1993
Conservation and scattering in nonlinear wave systems. Zbl 0832.35134
Zakharov, V.; Balk, A.; Schulman, E.
3
1993
Kolmogorov spectra of turbulence I. Wave turbulence. Zbl 0786.76002
Zakharov, V. E.; L’vov, V. S.; Falkovich, G.
144
1992
Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation. Zbl 0767.35082
Dyachenko, S.; Newell, A. C.; Pushkarev, A.; Zakharov, V. E.
51
1992
The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032
Fokas, A. S.; Zakharov, V. E.
23
1992
Kinetic equation for point vortices in a shear flow. Zbl 0755.35095
Nazarenko, S. V.; Zakharov, V. E.
3
1992
What is integrability? Zbl 0724.00014
Zakharov, Vladimir E.
23
1991
Computer simulation of wave collapses in the nonlinear Schrödinger equation. Zbl 0735.76085
Kosmatov, N. E.; Shvets, V. F.; Zakharov, V. E.
17
1991
Integrability of nonlinear systems and perturbation theory. Zbl 0807.35107
Zakharov, V. E.; Schulman, E. I.
15
1991
Computer simulation of Langmuir collapse. Zbl 0735.76084
Dyachenko, A. I.; Pushkarev, A. N.; Rubenchik, A. M.; Sagdeev, R. Z.; Shvets, V. F.; Zakharov, V. E.
2
1991
Decreasing solutions and dispersion laws in the \((2n+1)\)-dimensional dressing method. Zbl 0791.35110
Bogdanov, L. V.; Zakharov, V. E.
1
1991
On the dressing method. Zbl 0717.58022
Zakharov, V. E.
10
1990
The algebra of integrals of motion of two-dimensional hydrodynamics in Clebsch variables. Zbl 0850.76007
Zakharov, V. E.
1
1989
On additional motion invariants of classical Hamiltonian wave systems. Zbl 0651.35080
Zakharov, V. E.; Schulman, E. I.
13
1988
Stability of weak turbulence Kolmogorov spectra. Zbl 0695.76026
Balk, A. M.; Zakharov, V. E.
3
1988
Inverse scattering method with variable spectral parameter. Zbl 0639.35074
Burtsev, S. P.; Zakharov, V. E.; Mikhajlov, A. V.
28
1987
Canonical variables for Rossby and drift waves in plasma. Zbl 0642.76130
Zakharov, V. E.; Piterbarg, L. I.
3
1987
Hamiltonian description of baroclinic Rossby waves. Zbl 0642.76030
Zakharov, V. E.; Monin, A. S.; Piterbarg, L. I.
1
1987
Multi-scale expansions in the theory of systems integrable by the inverse scattering transform. Zbl 0611.35079
Zakharov, V. E.; Kuznetsov, E. A.
44
1986
Solitons. Zbl 0645.76002
Trullinger, S. E.; Zakharov, V. E.; Pokrovskij, V. L.
4
1986
Construction of higher-dimensional nonlinear integrable systems and of their solutions. Zbl 0597.35115
Zakharov, V. E.; Manakov, S. V.
64
1985
Multidimensional nonlinear integrable systems and methods for constructing their solutions. Zbl 0582.35111
Zakharov, V. E.; Manakov, S. V.
12
1985
Theory of solitons. The inverse scattering method. Transl. from the Russian. Zbl 0598.35002
Novikov, S.; Manakov, S. V.; Pitaevskii, L. P.; Zakharov, V. E.
530
1984
On the theory of recursion operator. Zbl 0594.35080
Zakharov, V. E.; Konopelchenko, B. G.
26
1984
Hamiltonian formalism for systems of hydrodynamic type. Zbl 0557.76008
Zakharov, V. E.; Kuznetsov, E. A.
9
1984
Method of the inverse scattering problem with spectral parameter on an algebraic curve. Zbl 0596.35120
Zakharov, V. E.; Mikhaĭlov, A. V.
1
1983
To the integrability of the system of two coupled nonlinear Schrödinger equations. Zbl 1194.35435
Zakharov, V. E.; Schulman, E. I.
39
1982
On the Benney equations. Zbl 1194.35338
Zakharov, V. E.
17
1981
Theory of solitons. The method of the inverse problem. (Теория солитонов. Метод обратной задачи.) Zbl 0598.35003
Zakharov, V. E.; Manakov, S. V.; Novikov, S. P.; Pitaevskiĭ, L. P.
164
1980
Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II. Zbl 0448.35090
Zakharov, V. E.; Shabat, A. B.
141
1980
Degenerative dispersion laws, motion invariants and kinetic equations. Zbl 1194.37162
Zakharov, V. E.; Schulman, E. I.
38
1980
Benney equations and quasiclassical approximation in the method of the inverse problem. Zbl 0453.35086
Zakharov, V. E.
20
1980
Variational principle for equations integrable by the inverse problem method. Zbl 0473.35075
Zakharov, V. E.; Mikhajlov, A. V.
17
1980
Die Benneyschen Gleichungen und eine quasiklassische Approximation in der Methode eines inversen Problems. Zbl 0434.35084
Zakharov, V. E.
7
1980
The integration of Einstein’s equations, by the method of inverse scattering, and exact soliton solutions. Zbl 0414.76098
Belinsky, V.; Zakharov, V.
2
1979
Generalization of the inverse scattering problem method. Zbl 0413.47006
Zakharov, V. E.; Manakov, S. V.
7
1977
Exact solutions to the problem of the parametric interaction of three- dimensional wave packets. Zbl 0363.35024
Zakharov, V. E.
5
1976
On the complete integrability of a nonlinear Schrödinger equation. Zbl 0298.35016
Zakharov, V. E.; Manakov, S. V.
29
1975
A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I. Zbl 0303.35024
Zakharov, V. E.; Shabat, A. B.
241
1974
Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051
Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D.
24
1974
Über die vollständige Integrabilität der nichtlinearen Schrödingergleichung. Zbl 0293.35025
Zakharov, V. E.; Manakov, S. V.
11
1974
Korteweg-de Vries equation: a completely integrable Hamiltonian system. Zbl 0257.35074
Zakharov, V. E.; Faddeev, L. D.
93
1972
Spectrum of acoustic turbulence. Zbl 0223.76042
Zakharov, V. E.; Sagdeev, R. Z.
9
1970
...and 2 more Documents
all top 5

Cited by 2,002 Authors

44 Zakharov, Vladimir Evgen’evich
40 Geng, Xianguo
38 Ma, Wen-Xiu
28 Gerdzhikov, Vladimir Stefanov
26 Fokas, Athanassios S.
24 Konopelchenko, Boris Georgievich
20 Pogrebkov, Andrei K.
19 Ablowitz, Mark Jay
19 Fan, Engui
19 Ferapontov, Evgeny Vladimirovich
18 Nazarenko, Sergeĭ Vital’evich
18 Santini, Paolo Maria
17 Biondini, Gino
15 Khabibullin, Ismagil Talgatovich
15 Krichever, Igor’ Moiseevich
14 Gesztesy, Fritz
14 Saut, Jean-Claude
13 Boiti, Marco
13 He, Jingsong
13 Malomed, Boris A.
13 Pempinelli, Flora
12 Newell, Alan C.
12 Pavlov, Maxim V.
12 Prinari, Barbara
12 Prykarpatsky, Anatoliy Karolevych
11 Grinevich, Pëtr Georgievich
11 Lvov, Yuri V.
11 Morozov, Oleg I.
11 Samoĭlenko, Valeriĭ Grygorovych
11 Shabat, Alekseĭ Borisovich
11 Zenchuk, Alexandre I.
10 Balk, Alexander M.
10 Dubrovsky, V. G.
10 Ivanov, Rossen I.
10 Klein, Christian
10 Kulish, Petr Petrovich
10 Pelinovsky, Dmitry Efimovich
10 Zhu, Junyi
9 Cieśliński, Jan L.
9 Dutykh, Denys
9 D’yachenko, Aleksandr Ivanovich
9 Dyachenko, Sergey A.
9 Escobedo Martínez, Miguel
9 Mikhailov, Alexander Vasil’evich
9 Onorato, Miguel
9 Sokolov, Vladimir Vyacheslavovich
9 Wang, Dengshan
8 Biswas, Anjan
8 Bogdanov, Leonid Vital’evich
8 Chen, Jinbing
8 Craig, Walter
8 Degasperis, Antonio
8 Odesskii, Alexander
8 Qiao, Zhijun
8 Sakhnovich, Alexander L.
8 Segur, Harvey
8 Shamin, Roman Vyacheslavovich
8 Tzvetkov, Nikolay
8 Velázquez, Juan J. L.
8 Wazwaz, Abdul-Majid Abdul-Rahman
7 Calogero, Francesco A.
7 Connaughton, Colm P.
7 Dai, Huihui
7 Deconinck, Bernard
7 Dubrovin, Boris Anatol’evich
7 Guo, Boling
7 Khusnutdinova, Karima Robertovna
7 Orlov, Aleksandr Yu.
7 Osborne, Alfred R.
7 Sattinger, David H.
7 Tian, Shoufu
7 Tran, Minh-Binh
7 Xue, Bo
6 Boutet de Monvel, Anne Marie
6 Cheng, Yi
6 Dias, Frédéric
6 Doliwa, Adam
6 El, Gennady A.
6 Grahovski, Georgi G.
6 Gramstad, Odin
6 Harnad, John
6 He, Guoliang
6 Hou, Yu
6 Kiselev, Vladimir Valer’evich
6 Korotyaev, Evgeny L.
6 Kostov, Nikolay A.
6 Lushnikov, Pavel Mikhaĭlovich
6 Milewski, Paul A.
6 Novikov, Roman G.
6 Pushkarev, Andrei N.
6 Sergyeyev, Artur
6 Shapovalov, Aleksandr V.
6 Shrira, Victor I.
6 Smirnov, Alexander O.
6 Spohn, Herbert
6 Sulem, Catherine
6 Valchev, Tihomir I.
6 Van der Mee, Cornelis Victor Maria
5 Abenda, Simonetta
5 Borisov, Alexander B.
...and 1,902 more Authors
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Cited in 237 Serials

189 Journal of Mathematical Physics
174 Physica D
167 Theoretical and Mathematical Physics
79 Communications in Mathematical Physics
76 Journal of Fluid Mechanics
70 Physics Letters. A
44 Chaos, Solitons and Fractals
42 Journal of Geometry and Physics
41 Studies in Applied Mathematics
38 Journal of Soviet Mathematics
35 Functional Analysis and its Applications
30 Applied Mathematics and Computation
29 Journal of Mathematical Analysis and Applications
28 Journal of Nonlinear Mathematical Physics
26 Ukrainian Mathematical Journal
26 Acta Applicandae Mathematicae
25 Journal of Differential Equations
24 Journal of Nonlinear Science
23 Letters in Mathematical Physics
20 Journal of Mathematical Sciences (New York)
20 European Journal of Mechanics. B. Fluids
20 Communications in Nonlinear Science and Numerical Simulation
19 Wave Motion
18 Applied Mathematics Letters
17 Nuclear Physics. B
16 Computers & Mathematics with Applications
16 Chaos
15 Journal of Computational Physics
14 Nonlinear Dynamics
13 Duke Mathematical Journal
13 Mathematics and Computers in Simulation
13 Annals of Physics
11 Mathematical Notes
11 Nonlinearity
11 Physics of Fluids
10 Differential Geometry and its Applications
10 Russian Physics Journal
10 Journal of Physics A: Mathematical and Theoretical
9 Advances in Mathematics
9 Nonlinear Analysis. Real World Applications
8 Archive for Rational Mechanics and Analysis
8 Journal of Statistical Physics
8 Journal of Computational and Applied Mathematics
8 Publications of the Research Institute for Mathematical Sciences, Kyoto University
8 Proceedings of the Steklov Institute of Mathematics
7 Reports on Mathematical Physics
7 Journal of Functional Analysis
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Doklady Mathematics
7 Mathematical Physics, Analysis and Geometry
6 Applicable Analysis
6 Physica A
6 Russian Mathematical Surveys
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Transactions of the American Mathematical Society
6 Journal of High Energy Physics
6 Advances in Mathematical Physics
6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Fluid Dynamics
5 Reviews in Mathematical Physics
5 Inventiones Mathematicae
5 Siberian Mathematical Journal
5 Discrete and Continuous Dynamical Systems
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Frontiers of Mathematics in China
5 Ufimskiĭ Matematicheskiĭ Zhurnal
4 International Journal of Theoretical Physics
4 Rocky Mountain Journal of Mathematics
4 Integral Equations and Operator Theory
4 Mathematische Zeitschrift
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Proceedings of the American Mathematical Society
4 Acta Mathematicae Applicatae Sinica. English Series
4 Communications in Partial Differential Equations
4 SIAM Journal on Applied Mathematics
4 SIAM Journal on Mathematical Analysis
4 Bulletin of the American Mathematical Society. New Series
4 Communications on Pure and Applied Analysis
4 Mathematical Modelling of Natural Phenomena
4 Nonlinear Analysis. Theory, Methods & Applications
3 Communications on Pure and Applied Mathematics
3 Physics Reports
3 Theoretical and Computational Fluid Dynamics
3 Transactions of the Moscow Mathematical Society
3 Chinese Annals of Mathematics. Series B
3 Applied Numerical Mathematics
3 Journal of the American Mathematical Society
3 Computational Mathematics and Mathematical Physics
3 Applied Mathematical Modelling
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Russian Mathematics
3 Bulletin des Sciences Mathématiques
3 Journal of Applied Mechanics and Technical Physics
3 Journal of Mathematical Fluid Mechanics
3 Physical Review Letters
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Advances in Difference Equations
3 Journal of Statistical Mechanics: Theory and Experiment
3 Waves in Random and Complex Media
3 Communications in Theoretical Physics
...and 137 more Serials
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Cited in 56 Fields

1,264 Partial differential equations (35-XX)
792 Dynamical systems and ergodic theory (37-XX)
408 Fluid mechanics (76-XX)
198 Quantum theory (81-XX)
118 Ordinary differential equations (34-XX)
106 Statistical mechanics, structure of matter (82-XX)
95 Global analysis, analysis on manifolds (58-XX)
79 Numerical analysis (65-XX)
70 Differential geometry (53-XX)
64 Optics, electromagnetic theory (78-XX)
62 Operator theory (47-XX)
60 Algebraic geometry (14-XX)
58 Mechanics of particles and systems (70-XX)
44 Difference and functional equations (39-XX)
41 Geophysics (86-XX)
40 Nonassociative rings and algebras (17-XX)
26 Mechanics of deformable solids (74-XX)
23 Functions of a complex variable (30-XX)
22 Special functions (33-XX)
22 Relativity and gravitational theory (83-XX)
20 Integral equations (45-XX)
19 Computer science (68-XX)
17 Topological groups, Lie groups (22-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
10 History and biography (01-XX)
10 Several complex variables and analytic spaces (32-XX)
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8 Functional analysis (46-XX)
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7 Biology and other natural sciences (92-XX)
6 Associative rings and algebras (16-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Astronomy and astrophysics (85-XX)
5 General and overarching topics; collections (00-XX)
4 Number theory (11-XX)
4 Potential theory (31-XX)
4 Geometry (51-XX)
4 Convex and discrete geometry (52-XX)
4 Algebraic topology (55-XX)
4 Manifolds and cell complexes (57-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Commutative algebra (13-XX)
3 Group theory and generalizations (20-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Combinatorics (05-XX)
2 Integral transforms, operational calculus (44-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistics (62-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

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