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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.; Zakharov, V. E.; Zakharov, Vladimir; Zakharov, Vladimir E.
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 Resio, Donald T.
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, Don
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 Belinski, Vladimir A.
1 Borisov, Adrijan Varbanov
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 Hadad, Yakir
1 Hwang, Paul A.
1 Ibragimov, Il’dar Abdullovich
1 Karpman, V. I.
1 Kislyakov, Sergeĭ Vital’evich
1 Klimentov, Sergeĭ Borisovich
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 Matveev, Viktor Anatol’evich
1 Monin, Andrei Sergeevich
1 Monin, Andrey S.
1 Nabelek, Patrik V.
1 Odesskii, Alexander
1 Onorato, Michele
1 Osipov, Yuriĭ Sergeevich
1 Ostrovskiĭ, Iosif Vladimirovich
1 Ostrovsky, Lev A.
1 Pastur, Leonid Andreevich
1 Perrie, William A.
1 Pokrovskiĭ, Valeriĭ Leonidovich
1 Reshetikhin, Nikolai Yu.
1 Rofe-Beketov, Fedor Semenovich
1 Rubakov, Valery A.
1 Rubenchik, Alexander M.
1 Simonov, Yuri A.
1 Sklyanin, Evgeny K.
1 Slavnov, Andrei Alekseevich
1 Smirnov, Fedor A.
1 Sokolov, I. A.
...and 9 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 2,619 times in 2,007 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.
572
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.
242
1974
Theory of solitons. The method of the inverse problem. Zbl 0598.35003
Zakharov, V. E.; Manakov, S. V.; Novikov, S. P.; Pitaevskiĭ, L. P.
204
1980
Kolmogorov spectra of turbulence I. Wave turbulence. Zbl 0786.76002
Zakharov, V. E.; L’vov, V. S.; Falkovich, G.
152
1992
Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II. Zbl 0448.35090
Zakharov, V. E.; Shabat, A. B.
147
1980
Korteweg-de Vries equation: a completely integrable Hamiltonian system. Zbl 0257.35074
Zakharov, V. E.; Faddeev, L. D.
96
1972
Construction of higher-dimensional nonlinear integrable systems and of their solutions. Zbl 0597.35115
Zakharov, V. E.; Manakov, S. V.
66
1985
Modulation instability: The beginning. Zbl 1157.37337
Zakharov, V. E.; Ostrovsky, L. A.
51
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.
50
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
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
To the integrability of the system of two coupled nonlinear Schrödinger equations. Zbl 1194.35435
Zakharov, V. E.; Schulman, E. I.
39
1982
Degenerative dispersion laws, motion invariants and kinetic equations. Zbl 1194.37162
Zakharov, V. E.; Schulman, E. I.
39
1980
Dispersionless limit of integrable systems in \(2+1\) dimensions. Zbl 0852.35130
Zakharov, V. E.
37
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.
31
1994
What is integrability? Zbl 0724.00014
Zakharov, Vladimir E. (ed.)
30
1991
Inverse scattering method with variable spectral parameter. Zbl 0639.35074
Burtsev, S. P.; Zakharov, V. E.; Mikhajlov, A. V.
29
1987
On the complete integrability of a nonlinear Schrödinger equation. Zbl 0298.35016
Zakharov, V. E.; Manakov, S. V.
29
1975
Important developments in soliton theory. Zbl 0801.00009
Fokas, A. S. (ed.); Zakharov, V. E. (ed.)
28
1993
On the theory of recursion operator. Zbl 0594.35080
Zakharov, V. E.; Konopelchenko, B. G.
26
1984
Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability. Zbl 1343.37069
Gelash, A. A.; Zakharov, V. E.
25
2014
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.
25
1998
Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051
Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D.
25
1974
The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032
Fokas, A. S.; Zakharov, V. E.
21
1992
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.
18
2006
Turbulence of capillary waves – theory and numerical simulation. Zbl 0960.76039
Pushkarev, A. N.; Zakharov, V. E.
18
2000
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.
17
1991
On the Benney equations. Zbl 1194.35338
Zakharov, V. E.
17
1981
Variational principle for equations integrable by the inverse problem method. Zbl 0473.35075
Zakharov, V. E.; Mikhajlov, A. V.
17
1980
The Boussinesq equation revisited. Zbl 0997.35068
Bogdanov, L. V.; Zakharov, V. E.
16
2002
Über die vollständige Integrabilität der nichtlinearen Schrödingergleichung. Zbl 0293.35025
Zakharov, V. E.; Manakov, S. V.
16
1974
Turbulence in integrable systems. Zbl 1178.37099
Zakharov, Vladimir E.
15
2009
Weakly nonlinear waves on the surface of an ideal finite depth fluid. Zbl 0914.76015
Zakharov, V. E.
14
1998
Stability of weak-turbulence Kolmogorov spectra. Zbl 0898.76047
Balk, A. M.; 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
Multidimensional nonlinear integrable systems and methods for constructing their solutions. Zbl 0582.35111
Zakharov, V. E.; Manakov, S. V.
13
1985
Weak turbulent approach to the wind-generated gravity sea waves. Zbl 1098.76519
Pushkarev, A.; Resio, D.; Zakharov, V.
12
2003
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
Five-wave interaction on the surface of deep fluid. Zbl 1194.76026
Dyachenko, A. I.; Lvov, Y. V.; Zakharov, V. E.
11
1995
On the dressing method. Zbl 0717.58022
Zakharov, V. E.
11
1990
Hamiltonian formalism for systems of hydrodynamic type. Zbl 0557.76008
Zakharov, V. E.; Kuznetsov, E. A.
10
1984
Integrable turbulence and formation of rogue waves. Zbl 1330.35391
Agafontsev, D. S.; Zakharov, V. E.
9
2015
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
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.
8
1996
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
Weakly turbulent laws of wind-wave growth. Zbl 1168.76332
Badulin, Sergei I.; Babanin, Alexander V.; Zakharov, Vladimir E.; Resio, Donald
7
2007
Nonlinear waves and weak turbulence. Transl. from the Russian. Zbl 0879.00029
Zakharov, V. E. (ed.)
7
1998
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
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
The integration of Einstein’s equations, by the method of inverse scattering, and exact soliton solutions. Zbl 0414.76098
Belinsky, V.; Zakharov, V.
6
1979
Integrable turbulence generated from modulational instability of cnoidal waves. Zbl 1406.35342
Agafontsev, D. S.; Zakharov, V. E.
5
2016
About shape of giant breather. Zbl 1193.76029
Zakharov, V. E.; Dyachenko, A. I.
5
2010
Solitons. Zbl 0645.76002
Trullinger, S. E. (ed.); Zakharov, V. E. (ed.); Pokrovskij, V. L. (ed.)
5
1986
Exact solutions to the problem of the parametric interaction of three- dimensional wave packets. Zbl 0363.35024
Zakharov, V. E.
5
1976
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
Primitive potentials and bounded solutions of the KdV equation. Zbl 1415.37096
Dyachenko, S.; Zakharov, D.; Zakharov, V.
4
2016
Application of inverse scattering method to problems of differential geometry. Zbl 1032.35164
Zakharov, V.
4
2002
Wave collapses. Proceedings of the international workshop on wave collapse physics, held in Novosibirsk, USSR, 20-27 March, 1988. Zbl 0741.00083
Zakharov, V. E. (ed.)
4
1991
Canonical variables for Rossby and drift waves in plasma. Zbl 0642.76130
Zakharov, V. E.; Piterbarg, L. I.
4
1987
Non-periodic one-dimensional ideal conductors and integrable turbulence. Zbl 1366.81160
Zakharov, Dmitry V.; Zakharov, Vladimir E.; Dyachenko, Sergey A.
3
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
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
Nonlinear coherent phenomena in continuous media. Zbl 1106.35330
Kuznetsov, E. A.; Zakharov, V. E.
3
2000
Wave turbulence in one-dimensional models. Zbl 1003.76040
Guyenne, Philippe; Zakharov, Vladimir; Pushkarev, Andrei; Dias, Frédéric
3
2000
Reductions in systems integrable by the method of the inverse scattering problem. Zbl 0961.35157
Zakharov, V. E.; Manakov, S. V.
3
1998
Toward an integrable model of deep water. Zbl 0972.76508
Dyachenko, A. I.; Zakharov, V. E.
3
1996
Conservation and scattering in nonlinear wave systems. Zbl 0832.35134
Zakharov, V.; Balk, A.; Schulman, E.
3
1993
Kinetic equation for point vortices in a shear flow. Zbl 0755.35095
Nazarenko, S. V.; Zakharov, V. E.
3
1992
Stability of weak turbulence Kolmogorov spectra. Zbl 0695.76026
Balk, A. M.; Zakharov, V. E.
3
1988
Super compact equation for water waves. Zbl 1460.76092
Dyachenko, A. I.; Kachulin, D. I.; Zakharov, V. E.
2
2017
Probability distribution functions of freak waves: nonlinear versus linear model. Zbl 1348.35184
Dyachenko, Alexander I.; Kachulin, Dmitriy I.; Zakharov, Vladimir E.
2
2016
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
On optimal canonical variables in the theory of ideal fluid with free surface. Zbl 1070.35035
Lushnikov, Pavel M.; Zakharov, Vladimir E.
2
2005
Quasi-two-dimensional hydrodynamics and interaction of vortex tubes. Zbl 0947.76011
Zakharov, V. E.
2
1999
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
Variational principle and canonical variables in magnetohydrodynamics. Zbl 0217.56603
Zakharov, V. E.; Kuznetsov, E. A.
2
1970
On the nonlinear theory of the damping of plasma waves. Zbl 0132.23005
Zakharov, V. E.; Karpman, V. I.
2
1962
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-periodic one-gap potentials in quantum mechanics. Zbl 1402.35266
Zakharov, Dmitry; Zakharov, Vladimir
1
2018
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
Five-wave classical scattering matrix and integrable equations. Zbl 1308.76043
Zakharov, V. E.; Odesskii, A. V.; Cisternino, M.; Onorato, M.
1
2014
Transparency of strong gravitational waves. Zbl 1286.53024
Hadad, Y.; Zakharov, V.
1
2014
Quasibreathers in the MMT model. Zbl 1308.76045
Pushkarev, A.; Zakharov, V. E.
1
2013
Cascade generation of zonal flows by the drift wave turbulence. Zbl 1234.86001
Balk, Alexander M.; Zakharov, Vladimir E.
1
2009
Freak waves: peculiarities of numerical simulations. Zbl 1191.76065
Zakharov, V. E.; Dyachenko, A. I.; Prokofiev, A. O.
1
2008
Numerical verification of the Hasselmann equation. Zbl 1310.76027
Korotkevich, Alexander O.; Pushkarev, Andrei N.; Resio, Don; Zakharov, Vladimir E.
1
2007
Integration of the Gauss-Codazzi equations. Zbl 0998.53004
Zakharov, V. E.
1
2001
The equilibrium range cascades of wind-generated waves. Zbl 0944.76009
Perrie, William; Zakharov, Vladimir
1
1999
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
Integrable \((1+1)\)-dimensional systems and the Riemann problem with a shift. Zbl 0811.35094
Bogdanov, L. V.; Zakharov, V. E.
1
1994
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
Non-periodic one-dimensional ideal conductors and integrable turbulence. Zbl 1366.81160
Zakharov, Dmitry V.; Zakharov, Vladimir E.; Dyachenko, Sergey A.
3
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
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.
25
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
Five-wave classical scattering matrix and integrable equations. Zbl 1308.76043
Zakharov, V. E.; Odesskii, A. V.; Cisternino, M.; Onorato, M.
1
2014
Transparency of strong gravitational waves. Zbl 1286.53024
Hadad, Y.; Zakharov, V.
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.
51
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
Numerical verification of the Hasselmann equation. Zbl 1310.76027
Korotkevich, Alexander O.; Pushkarev, Andrei N.; Resio, Don; Zakharov, Vladimir E.
1
2007
Freak waves as nonlinear stage of Stokes wave modulation instability. Zbl 1101.76016
Zakharov, V. E.; Dyachenko, A. I.; Prokofiev, A. O.
18
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.
18
2000
Nonlinear coherent phenomena in continuous media. Zbl 1106.35330
Kuznetsov, E. A.; Zakharov, V. E.
3
2000
Wave turbulence in one-dimensional models. Zbl 1003.76040
Guyenne, Philippe; Zakharov, Vladimir; Pushkarev, Andrei; Dias, Frédéric
3
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.
25
1998
Weakly nonlinear waves on the surface of an ideal finite depth fluid. Zbl 0914.76015
Zakharov, V. E.
14
1998
Stability of weak-turbulence Kolmogorov spectra. Zbl 0898.76047
Balk, A. M.; Zakharov, V. E.
14
1998
Nonlinear waves and weak turbulence. Transl. from the Russian. Zbl 0879.00029
Zakharov, V. E. (ed.)
7
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.
8
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.
37
1994
Is free-surface hydrodynamics an integrable system? Zbl 0961.76511
D’yachenko, A. I.; Zakharov, V. E.
31
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. (ed.); Zakharov, V. E. (ed.)
28
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.
152
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.
50
1992
The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032
Fokas, A. S.; Zakharov, V. E.
21
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. (ed.)
30
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.
17
1991
Wave collapses. Proceedings of the international workshop on wave collapse physics, held in Novosibirsk, USSR, 20-27 March, 1988. Zbl 0741.00083
Zakharov, V. E. (ed.)
4
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.
11
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.
29
1987
Canonical variables for Rossby and drift waves in plasma. Zbl 0642.76130
Zakharov, V. E.; Piterbarg, L. I.
4
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. (ed.); Zakharov, V. E. (ed.); Pokrovskij, V. L. (ed.)
5
1986
Construction of higher-dimensional nonlinear integrable systems and of their solutions. Zbl 0597.35115
Zakharov, V. E.; Manakov, S. V.
66
1985
Multidimensional nonlinear integrable systems and methods for constructing their solutions. Zbl 0582.35111
Zakharov, V. E.; Manakov, S. V.
13
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.
572
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.
10
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. Zbl 0598.35003
Zakharov, V. E.; Manakov, S. V.; Novikov, S. P.; Pitaevskiĭ, L. P.
204
1980
Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II. Zbl 0448.35090
Zakharov, V. E.; Shabat, A. B.
147
1980
Degenerative dispersion laws, motion invariants and kinetic equations. Zbl 1194.37162
Zakharov, V. E.; Schulman, E. I.
39
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.
6
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.
242
1974
Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051
Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D.
25
1974
Über die vollständige Integrabilität der nichtlinearen Schrödingergleichung. Zbl 0293.35025
Zakharov, V. E.; Manakov, S. V.
16
1974
...and 4 more Documents
all top 5

Cited by 2,202 Authors

46 Zakharov, Vladimir Evgen’evich
40 Geng, Xianguo
38 Ma, Wen-Xiu
27 Fokas, Athanassios S.
27 Gerdzhikov, Vladimir Stefanov
27 Konopelchenko, Boris Georgievich
20 Pogrebkov, Andrei K.
19 Ablowitz, Mark Jay
19 Ferapontov, Evgeny Vladimirovich
18 Fan, Engui
18 Nazarenko, Sergeĭ Vital’evich
18 Santini, Paolo Maria
17 Biondini, Gino
16 Krichever, Igor’ Moiseevich
15 Khabibullin, Ismagil Talgatovich
15 Prykarpatsky, Anatoliy Karolevych
14 Gesztesy, Fritz
14 He, Jingsong
14 Saut, Jean-Claude
13 Boiti, Marco
13 Lvov, Yuri V.
13 Malomed, Boris A.
13 Pempinelli, Flora
12 Newell, Alan C.
12 Pavlov, Maxim V.
12 Prinari, Barbara
12 Samoĭlenko, Valeriĭ Grygorovych
11 Dubrovsky, V. G.
11 D’yachenko, Aleksandr Ivanovich
11 Grinevich, Pëtr Georgievich
11 Osborne, Alfred R.
11 Pelinovsky, Dmitry Efimovich
11 Shabat, Alekseĭ Borisovich
11 Zenchuk, Alexandre I.
10 Balk, Alexander M.
10 Cieśliński, Jan L.
10 Ivanov, Rossen I.
10 Klein, Christian
10 Kulish, Petr Petrovich
10 Mikhailov, Alexander Vasil’evich
10 Morozov, Oleg I.
10 Zhu, Junyi
9 Bogdanov, Leonid Vital’evich
9 Dutykh, Denys
9 Dyachenko, Sergey A.
9 Escobedo Martínez, Miguel
9 Onorato, Miguel
9 Sokolov, Vladimir Vyacheslavovich
9 Wang, Dengshan
8 Biswas, Anjan
8 Chen, Jinbing
8 Craig, Walter
8 Deconinck, Bernard
8 Degasperis, Antonio
8 Guo, Boling
8 Odesskii, Alexander
8 Orlov, Aleksandr Yu.
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 Dias, Frédéric
7 Dubrovin, Boris Anatol’evich
7 Khusnutdinova, Karima Robertovna
7 Korotyaev, Evgeny L.
7 Prykarpatsky, Yarema Anatoliyovych
7 Sattinger, David H.
7 Sulem, Catherine
7 Tran, Minh-Binh
7 Xue, Bo
6 Boutet de Monvel, Anne Marie
6 Carroll, Robert L.
6 Cheng, Yi
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 Kostov, Nikolay A.
6 Lushnikov, Pavel Mikhaĭlovich
6 Milewski, Paul A.
6 Novikov, Roman G.
6 Pelinovsky, Efim
6 Pushkarev, Andrei N.
6 Sergyeyev, Artur
6 Shapovalov, Aleksandr V.
6 Shchesnovich, Valery S.
6 Shrira, Victor I.
6 Smirnov, Alexander O.
6 Spohn, Herbert
6 Tian, Shoufu
...and 2,102 more Authors
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Cited in 237 Serials

193 Journal of Mathematical Physics
192 Physica D
165 Theoretical and Mathematical Physics
88 Physics Letters. A
79 Communications in Mathematical Physics
76 Journal of Fluid Mechanics
48 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 Journal of Mathematical Analysis and Applications
30 Applied Mathematics and Computation
28 Journal of Nonlinear Mathematical Physics
26 Ukrainian Mathematical Journal
26 Journal of Differential Equations
26 Acta Applicandae Mathematicae
24 Journal of Nonlinear Science
23 Letters in Mathematical Physics
22 European Journal of Mechanics. B. Fluids
20 Nuclear Physics. B
20 Wave Motion
20 Journal of Mathematical Sciences (New York)
20 Communications in Nonlinear Science and Numerical Simulation
19 Applied Mathematics Letters
18 Computers & Mathematics with Applications
18 Journal of Computational Physics
17 Annals of Physics
16 Mathematics and Computers in Simulation
16 Chaos
14 Nonlinear Dynamics
13 Duke Mathematical Journal
11 Mathematical Notes
11 Nonlinearity
11 Advances in Mathematics
11 Physics of Fluids
11 Journal of High Energy Physics
10 Russian Physics Journal
10 Journal of Physics A: Mathematical and Theoretical
9 Journal of Computational and Applied Mathematics
9 Journal of Functional Analysis
9 Differential Geometry and its Applications
9 Nonlinear Analysis. Real World Applications
8 Archive for Rational Mechanics and Analysis
8 Journal of Statistical Physics
8 Reports on Mathematical Physics
8 Publications of the Research Institute for Mathematical Sciences, Kyoto University
8 Proceedings of the Steklov Institute of Mathematics
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 Transactions of the American Mathematical Society
6 Advances in Mathematical Physics
6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Fluid Dynamics
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Reviews in Mathematical Physics
5 Inventiones Mathematicae
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Proceedings of the American Mathematical Society
5 Siberian Mathematical Journal
5 SIAM Journal on Mathematical Analysis
5 Bulletin of the American Mathematical Society. New Series
5 Discrete and Continuous Dynamical Systems
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Communications on Pure and Applied Analysis
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Frontiers of Mathematics in China
5 Ufimskiĭ Matematicheskiĭ Zhurnal
4 Computer Physics Communications
4 International Journal of Theoretical Physics
4 Rocky Mountain Journal of Mathematics
4 Integral Equations and Operator Theory
4 Mathematische Zeitschrift
4 Acta Mathematicae Applicatae Sinica. English Series
4 Communications in Partial Differential Equations
4 SIAM Journal on Applied Mathematics
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 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 Nuclear Physics, B, Proceedings Supplements
3 Journal of Applied Mechanics and Technical Physics
3 Journal of Mathematical Fluid Mechanics
3 Physical Review Letters
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

1,316 Partial differential equations (35-XX)
830 Dynamical systems and ergodic theory (37-XX)
416 Fluid mechanics (76-XX)
217 Quantum theory (81-XX)
126 Ordinary differential equations (34-XX)
113 Statistical mechanics, structure of matter (82-XX)
98 Global analysis, analysis on manifolds (58-XX)
88 Numerical analysis (65-XX)
69 Differential geometry (53-XX)
67 Operator theory (47-XX)
65 Optics, electromagnetic theory (78-XX)
61 Algebraic geometry (14-XX)
59 Mechanics of particles and systems (70-XX)
45 Difference and functional equations (39-XX)
42 Geophysics (86-XX)
38 Nonassociative rings and algebras (17-XX)
27 Mechanics of deformable solids (74-XX)
25 Relativity and gravitational theory (83-XX)
24 Special functions (33-XX)
23 Functions of a complex variable (30-XX)
20 Integral equations (45-XX)
20 Computer science (68-XX)
16 Topological groups, Lie groups (22-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
11 Probability theory and stochastic processes (60-XX)
9 History and biography (01-XX)
9 Several complex variables and analytic spaces (32-XX)
8 Functional analysis (46-XX)
7 Approximations and expansions (41-XX)
7 Biology and other natural sciences (92-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Astronomy and astrophysics (85-XX)
5 General and overarching topics; collections (00-XX)
5 Number theory (11-XX)
5 Associative rings and algebras (16-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)
2 Systems theory; control (93-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 Information and communication theory, circuits (94-XX)

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