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Гамильтоновский формализм для нелинейных волн

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Институт теоретической физики им. Л.Д. Ландау РАН, ул. Косыгина 2, Москва, 119334, Российская Федерация

Представлен обзор по гамильтоновскому описанию систем гидродинамического типа для плазмы, гидродинамики и магнитной гидродинамики. Основное внимание уделяется проблеме введения канонических переменных. Указана связь с другими способами введения гамильтоновской структуры, в частности, с помощью скобок Пуассона, выраженных в естественных переменных. Показано, что вырожденность неканонических скобок Пуассона связана с существованием симметрии — группы переобозначений лагранжевых маркеров жидких частиц. Все известные теоремы о сохранении вихря (теоремы Коши, Эртеля, Томсона (Кельвина), вмороженности и сохранения топологического инварианта Хопфа) являются следствием данной симметрии. Введены канонические переменные в бесстолкновительную кинетику плазмы. Обсуждается вопрос о гамильтоновских структурах уравнений Бенни и уравнения, описывающего волны Россби. Введена гамильтоновская структура в уравнение Деви-Стюартсона. Представлен также общий метод исследования слабонелинейных волн, основанный на классической теории возмущений и редукции гамильтонианов.

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English fulltext is available at DOI: 10.1070/PU1997v040n11ABEH000304
PACS: 52.30.−q, 52.35.Ra, 52.55.Fa (все)
DOI: 10.3367/UFNr.0167.199711a.1137
URL: https://ufn.ru/ru/articles/1997/11/a/
000071302300001
Цитата: Захаров В Е, Кузнецов Е А "Гамильтоновский формализм для нелинейных волн" УФН 167 1137–1167 (1997)
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English citation: Zakharov V E, Kuznetsov E A “Hamiltonian formalism for nonlinear waves” Phys. Usp. 40 1087–1116 (1997); DOI: 10.1070/PU1997v040n11ABEH000304

Список литературы (85) Статьи, ссылающиеся на эту (287) ↓ Похожие статьи (20)

  1. Kochurin E A, Kuznetsov E A Radiophys Quantum El (2026)
  2. Zhang J, Benoit M, Mendes S Ocean Engineering 350 124183 (2026)
  3. Cuomo G, Eustachon F et al SciPost Phys. 20 (1) (2026)
  4. Markov Yu A, Markova M A Int. J. Mod. Phys. A 41 (08) (2026)
  5. Gubarev Yu G, Luo J Physics 8 (1) 28 (2026)
  6. UÇAR MEHMET FATİH Fractals 34 (04) (2026)
  7. Bonnemain T, Caudrelier V, Doyon B Ann. Henri Poincaré 27 (1) 287 (2026)
  8. Abrashkin A A J. Math. Fluid Mech. 27 (3) (2025)
  9. Krishnaswami G S Texts and Readings in Physical Sciences Vol. Classical MechanicsIntroduction to Fluid Mechanics22 Chapter 19 (2025) p. 591
  10. Krishnaswami G S Texts and Readings in Physical Sciences Vol. Classical MechanicsHeat Diffusion Equation and Brownian Motion22 Chapter 18 (2025) p. 569
  11. Markov Yu  A, Markova M  A, Markov N  Yu J Math Sci 292 (5) 561 (2025)
  12. Zakharov V, Lvov V, Falkovich G Kolmogorov-Zakharov Spectra of Turbulence Graduate Texts in Physics Chapter 2 (2025) p. 7
  13. Buts V A AIP Advances 15 (1) (2025)
  14. Kochurin E A Chaos, Solitons & Fractals 191 115828 (2025)
  15. Markov Yu A, Markova M A et al Eur. Phys. J. Plus 140 (11) (2025)
  16. Kulyk K M, Yanovsky V V East Eur. J. Phys. (2) 134 (2024)
  17. Gurchenkov A A, Matveev I A Physics 6 (1) 426 (2024)
  18. Ignatov A  M Bull. Lebedev Phys. Inst. 51 (10) 416 (2024)
  19. Gubarev Yu G, Kotelnikova M S jour 166 (1) 36 (2024)
  20. Markov Yu A, Markova M A, Markov N Yu Nuclear Physics A 1048 122903 (2024)
  21. Fukumoto Ya, Zou R Progress of Theoretical and Experimental Physics 2024 (3) (2024)
  22. Abanov A G, Cappelli A J. High Energ. Phys. 2024 (8) (2024)
  23. Monteiro G M, Nair V P, Ganeshan S Phys. Rev. B 109 (17) (2024)
  24. Saut Je-C, Wang Yu Adv Cont Discr Mod 2024 (1) (2024)
  25. Webb G M, Anco S C et al Rev. Mod. Plasma Phys. 8 (1) (2024)
  26. Sedletsky Yu V, Gandzha I S Proc. R. Soc. A. 479 (2277) (2023)
  27. Markov Yu A, Markova M  A, Markov N  Yu Int. J. Mod. Phys. A 38 (02) (2023)
  28. Pezzutto P, Shrira V I J. Fluid Mech. 972 (2023)
  29. Zheltikov A M Optics Communications 546 129766 (2023)
  30. Abrashkin A A, Pelinovsky E N Theor Math Phys 215 (2) 599 (2023)
  31. Knyazev D V Comp. Contin. Mech. 16 (2) 150 (2023)
  32. Smirnov S, Podivilov E, Sturman B Photonics 10 (6) 640 (2023)
  33. Bibilova S A, Gubarev Y G Acta Appl Math 187 (1) (2023)
  34. (11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES) Vol. 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCESStudy of the stability for three-dimensional states of dynamic equilibrium of the electron Vlasov-Poisson gasYuriy G.GubarevYangLiu2872 (2023) p. 060024
  35. Machado M G, Abanov A G, Ganeshan S SciPost Phys. 14 (5) (2023)
  36. Gönül Ş, Özemir C Eur. Phys. J. Plus 137 (10) (2022)
  37. Abanov A  G, Wiegmann P  B Phys. Rev. Lett. 128 (5) (2022)
  38. Gönül Ş, Özemir C Chaos, Solitons & Fractals 165 112807 (2022)
  39. Markov Yu A, Markova M A, Markov N Yu Russ Phys J 64 (12) 2246 (2022)
  40. Sedletsky Yu V, Gandzha I S Phys. Rev. E 106 (6) (2022)
  41. Chong Ch L Physica D: Nonlinear Phenomena 433 133164 (2022)
  42. Ludu A Nonlinear Waves and Solitons on Contours and Closed Surfaces Springer Series in Synergetics Chapter 9 (2022) p. 203
  43. Abrashkin A A, Pelinovsky E N Успехи физических наук 192 (05) 491 (2022) [Abrashkin A A, Pelinovsky E N Phys. Usp. 65 (05) 453 (2022)]
  44. Agafontsev D S, Kuznetsov E A et al Phys.-Usp. 65 (2) 189 (2022)
  45. Webb G M, Anco S C et al J. Plasma Phys. 88 (4) (2022)
  46. Wiegmann P B, Abanov A G J. High Energ. Phys. 2022 (6) (2022)
  47. Malkin V M, Fisch N J Phys. Rev. E 105 (4) (2022)
  48. Kochurin E A, Kuznetsov E A Jetp Lett. 116 (12) 863 (2022)
  49. Rumpf B, Lvov Yu V Fluids 7 (4) 122 (2022)
  50. Kopiev V F, Chernyshev S A Acoust. Phys. 67 (1) 83 (2021)
  51. Chong Ch L Journal of Non-Newtonian Fluid Mechanics 292 104537 (2021)
  52. Campolina C S, Mailybaev A A Nonlinearity 34 (7) 4684 (2021)
  53. Maltsev A Ya, Novikov S P J. Exp. Theor. Phys. 132 (4) 645 (2021)
  54. Yahalom A Symmetry 13 (9) 1632 (2021)
  55. Grosvenor K T, Hoyos C et al Phys. Rev. Research 3 (4) (2021)
  56. Shashikanth B N Dynamically Coupled Rigid Body-Fluid Flow Systems Chapter 6 (2021) p. 133
  57. Yang Sh, Xiong Sh et al ACM Trans. Graph. 40 (4) 1 (2021)
  58. Gu Ya-Ju, Bulanov S V High Pow Laser Sci Eng 9 (2021)
  59. Spiller D, Brunk A et al J. Phys.: Condens. Matter 33 (36) 364001 (2021)
  60. Gubarev Yu G, Sun S J. Phys.: Conf. Ser. 1730 (1) 012069 (2021)
  61. Pavlov V P, Sergeev V M, Shamin R V Theor Math Phys 208 (1) 926 (2021)
  62. Grimberg G, Tassi E EPJ H 46 (1) (2021)
  63. Vakhnenko O O JNMP 24 (2) 250 (2021)
  64. Abali B E, Klunker A et al Z Angew Math Mech 101 (9) (2021)
  65. Zubareva O V, Zubarev N M, Bobrov K E J. Phys.: Conf. Ser. 1556 (1) 012015 (2020)
  66. Gerdjikov V S, Smirnov A O, Matveev V B Eur. Phys. J. Plus 135 (8) (2020)
  67. Xiong Sh, Yang Yu J. Fluid Mech. 895 (2020)
  68. Malkin V M, Fisch N J Phys. Rev. E 101 (2) (2020)
  69. Yushkov V P Moscow Univ. Phys. 75 (6) 547 (2020)
  70. Kuznetsov E A, Mikhailov E A J. Exp. Theor. Phys. 131 (3) 496 (2020)
  71. Gürcan Ö D, Li Ya, Morel P Mathematics 8 (4) 530 (2020)
  72. Krishnaswami G S, Phatak S S et al AIP Advances 10 (2) (2020)
  73. Gubarev Yu G Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy Chapter 21 (2020) p. 161
  74. Cullen J, Ivanov R European Journal of Mechanics - B/Fluids 84 325 (2020)
  75. Piterbarg L I Theor Math Phys 202 (3) 412 (2020)
  76. Zubarev N M, Zubareva O V J. Phys.: Conf. Ser. 1556 (1) 012014 (2020)
  77. Abanov A G, Can T et al Phys. Rev. Fluids 5 (10) (2020)
  78. Sedletsky Yu V, Gandzha I  S Phys. Rev. E 102 (2) (2020)
  79. Gültekin Ö, Gürcan Ö D Plasma Phys. Control. Fusion 62 (2) 025018 (2020)
  80. Machon T Proc. R. Soc. A. 476 (2239) 20190851 (2020)
  81. Vedenyapin V V, Fimin N N, Chechetkin V M Comput. Math. and Math. Phys. 59 (11) 1816 (2019)
  82. Sato N, Yamada M J. Fluid Mech. 876 896 (2019)
  83. Yahalom A J. Phys.: Conf. Ser. 1416 (1) 012041 (2019)
  84. Dullin H R, Meiss J D, Worthington J J. Phys. A: Math. Theor. 52 (36) 365501 (2019)
  85. (MODERN TREATMENT OF SYMMETRIES, DIFFERENTIAL EQUATIONS AND APPLICATIONS (Symmetry 2019)) Vol. MODERN TREATMENT OF SYMMETRIES, DIFFERENTIAL EQUATIONS AND APPLICATIONS (Symmetry 2019)Conservation laws in magnetohydrodynamics and fluid dynamics: Lagrangian approachGary M.WebbStephen C.Anco2153 (2019) p. 020024
  86. Yahalom A J. Phys.: Conf. Ser. 1194 012113 (2019)
  87. Gubarev Yu G Plasma Res. Express 1 (4) 045008 (2019)
  88. Abrashkin A J. Math. Fluid Mech. 21 (2) (2019)
  89. Khazanov E A, Mironov S Yu, Mourou G Успехи физических наук 189 (11) 1173 (2019) [Khazanov E A, Mironov S Yu, Mourou G Phys.-Usp. 62 (11) 1096 (2019)]
  90. Abrashkin A Deep Sea Research Part II: Topical Studies in Oceanography 160 3 (2019)
  91. Abanov A G, Monteiro G M Phys. Rev. Lett. 122 (15) (2019)
  92. Dyachenko A I, Lushnikov P M, Zakharov V E J. Fluid Mech. 869 526 (2019)
  93. McKeever B F, Rodrigues D R et al Phys. Rev. B 99 (5) (2019)
  94. Vedenyapin V V, Kazakova T S et al Dokl. Math. 97 (3) 240 (2018)
  95. Vedenyapin V V, Andreeva A A, Vorobyeva V V Dokl. Math. 97 (3) 283 (2018)
  96. Vakhnenko O O Lett Math Phys 108 (8) 1807 (2018)
  97. Webb G Lecture Notes in Physics Vol. Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation LawsHamiltonian Approach946 Chapter 8 (2018) p. 137
  98. Abrashkin A A, Pelinovsky E N Успехи физических наук 188 (03) 329 (2018) [Abrashkin A A, Pelinovsky E N Phys.-Usp. 61 (3) 307 (2018)]
  99. Webb G Lecture Notes in Physics Vol. Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation LawsAdvected Invariants946 Chapter 5 (2018) p. 53
  100. Campolina C S, Mailybaev A A Phys. Rev. Lett. 121 (6) (2018)
  101. Kopiev V F, Chernyshev S A Acoust. Phys. 64 (6) 707 (2018)
  102. Webb G Lecture Notes in Physics Vol. Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation LawsIntroduction946 Chapter 1 (2018) p. 1
  103. Buffoni B, Groves M D, Wahlén E Arch Rational Mech Anal 228 (3) 773 (2018)
  104. Krafft C, Volokitin A S Physics of Plasmas 25 (10) (2018)
  105. Vakhnenko O O Journal of Mathematical Physics 59 (5) (2018)
  106. Webb G Lecture Notes in Physics Vol. Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation LawsHelicity in Fluids and MHD946 Chapter 3 (2018) p. 21
  107. Yahalom A Springer Proceedings in Mathematics & Statistics Vol. Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2Metage Symmetry Group of Non-barotropic Magnetohydrodynamics and the Conservation of Cross Helicity255 Chapter 30 (2018) p. 387
  108. Shen L Q, Zhou L F et al Phys. Rev. B 97 (22) (2018)
  109. Yahalom A Fluid Dyn. Res. 50 (1) 011406 (2018)
  110. Webb G Lecture Notes in Physics Vol. Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation LawsMulti-Symplectic Clebsch Approach946 Chapter 9 (2018) p. 167
  111. Besse N, Frisch U J. Fluid Mech. 825 412 (2017)
  112. Horikis T P, Frantzeskakis D J Phys. Rev. Lett. 118 (24) (2017)
  113. Nishiyama S, da Providência J Int. J. Mod. Phys. E 26 (04) 1750020 (2017)
  114. Vakhnenko O O Applied Mathematics Letters 64 81 (2017)
  115. Kuznetsov E A Jetp Lett. 105 (2) 125 (2017)
  116. Banerjee D, Souslov A et al Nat Commun 8 (1) (2017)
  117. Benilov E S, Benilov M S Phys. Rev. E 96 (4) (2017)
  118. Sen A Fluids 2 (2) 28 (2017)
  119. Vakhnenko O O Ukr. J. Phys. 62 (3) 271 (2017)
  120. Chern A, Knöppel F et al ACM Trans. Graph. 36 (4) 1 (2017)
  121. Christov I C, Kress T, Saxena A Int. J. Mod. Phys. B 31 (10) 1742008 (2017)
  122. Yahalom A Geophysical & Astrophysical Fluid Dynamics 111 (2) 131 (2017)
  123. Webb G M, Anco S C J. Phys. A: Math. Theor. 50 (25) 255501 (2017)
  124. Dutykh D, Clamond D et al Math. Model. Nat. Phenom. 12 (1) 23 (2017)
  125. Miloshevich G, Lingam M, Morrison P J New J. Phys. 19 (1) 015007 (2017)
  126. Camassa R, Falqui G, Ortenzi G Nonlinearity 30 (2) 466 (2017)
  127. Gelash A A, L’vov V S, Zakharov V E J. Fluid Mech. 831 128 (2017)
  128. Yahalom A J. Plasma Phys. 82 (2) (2016)
  129. Vakhnenko O O Journal of Mathematical Physics 57 (11) (2016)
  130. Onorato M, Baronio F et al Lecture Notes in Physics Vol. Rogue and Shock Waves in Nonlinear Dispersive MediaHydrodynamic and Optical Waves: A Common Approach for Unidimensional Propagation926 Chapter 1 (2016) p. 1
  131. Gu Y J, Klimo O et al Phys. Rev. E 93 (1) (2016)
  132. Romanova N N, Chkhetiani O G, Yakushkin I G J. Exp. Theor. Phys. 122 (5) 902 (2016)
  133. Cherubini Ch, Filippi S Commun. Comput. Phys. 19 (3) 758 (2016)
  134. Matsuno Y Proc. R. Soc. A. 472 (2190) 20160127 (2016)
  135. Gu Y J, Yu Q et al High Pow Laser Sci Eng 4 (2016)
  136. Amiranashvili Sh Lecture Notes in Physics Vol. New Approaches to Nonlinear WavesHamiltonian Framework for Short Optical Pulses908 Chapter 6 (2016) p. 153
  137. Grebenev V N, Oberlack M et al Journal of Mathematical Physics 57 (10) (2016)
  138. Webb G M, Anco S C J. Phys. A: Math. Theor. 49 (7) 075501 (2016)
  139. Ludu A Boundaries of a Complex World Springer Series in Synergetics Chapter 9 (2016) p. 245
  140. Ludu A Boundaries of a Complex World Springer Series in Synergetics Chapter 1 (2016) p. 3
  141. Hall M J W, Reginatto M Fundamental Theories of Physics Vol. Ensembles on Configuration SpaceIntroduction184 Chapter 1 (2016) p. 3
  142. Clamond D, Dutykh D Lecture Notes in Physics Vol. New Approaches to Nonlinear WavesModeling Water Waves Beyond Perturbations908 Chapter 7 (2016) p. 197
  143. Moroz S, Hoyos C Phys. Rev. B 91 (6) (2015)
  144. Webb G M, McKenzie J F, Zank G P J. Plasma Phys. 81 (6) (2015)
  145. Webb G M Journal of Mathematical Physics 56 (5) (2015)
  146. Monteiro G M, Abanov A G, Nair V  P Phys. Rev. D 91 (12) (2015)
  147. Yushkov V P Moscow Univ. Phys. 70 (4) 217 (2015)
  148. Tanehashi K, Yoshida Z J. Phys. A: Math. Theor. 48 (49) 495501 (2015)
  149. (Research Using Extreme Light: Entering New Frontiers with Petawatt-Class Lasers II) Vol. Research Using Extreme Light: Entering New Frontiers with Petawatt-Class Lasers IIMagnetic reconnection research with petawatt-class lasersGeorgKornLuis O.SilvaYanjunGuOndřejKlimoDeepakKumarYueLiuSushilSinghSergei V.BulanovTimur Z.EsirkepovStefanWeberGeorgKorn9515 (2015) p. 95151H
  150. Ignatov A M Plasma Phys. Rep. 41 (10) 783 (2015)
  151. Kalashnikova A M, Kimel A V, Pisarev R V Успехи физических наук 185 (10) 1064 (2015) [Kalashnikova A M, Kimel A V, Pisarev R V Phys.-Usp. 58 (10) 969 (2015)]
  152. Gürcan Ö D, Diamond P H J. Phys. A: Math. Theor. 48 (29) 293001 (2015)
  153. Aseeva N V, Gromov E M, Tyutin V V Radiophys Quantum El 58 (3) 209 (2015)
  154. Gu Y J, Klimo O et al Physics of Plasmas 22 (10) (2015)
  155. Camassa R, Chen S et al J. Fluid Mech. 743 534 (2014)
  156. Kovriguine D A Arch Appl Mech 84 (2) 159 (2014)
  157. Frewer M, Oberlack M, Grebenev V N Math Phys Anal Geom 17 (1-2) 3 (2014)
  158. Ruban V P Jetp Lett. 99 (3) 124 (2014)
  159. Webb G M, Dasgupta B et al J. Phys. A: Math. Theor. 47 (9) 095501 (2014)
  160. Perin M, Chandre C et al Annals of Physics 348 50 (2014)
  161. Zubarev N M, Kuznetsov E A J. Exp. Theor. Phys. 119 (1) 169 (2014)
  162. Frisch U, Villone B EPJ H 39 (3) 325 (2014)
  163. Webb G M, McKenzie J F, Zank G P J. Plasma Phys. 80 (5) 707 (2014)
  164. Turchetti G, Sinigardi S, Londrillo P Eur. Phys. J. D 68 (12) (2014)
  165. Prakash Ja, Lavrenteva O M, Nir A Physics of Fluids 26 (7) (2014)
  166. Webb G M, Dasgupta B et al J. Phys. A: Math. Theor. 47 (9) 095502 (2014)
  167. Camassa R, Falqui G et al J. Phys.: Conf. Ser. 482 012006 (2014)
  168. Lyutikov M Phys. Rev. E 88 (5) (2013)
  169. Makarov V A, Petnikova V M et al Phys. Wave Phen. 21 (4) 264 (2013)
  170. Chandre C, de Guillebon L et al J. Phys. A: Math. Theor. 46 (12) 125203 (2013)
  171. Camassa R, Chen S et al J. Fluid Mech. 726 404 (2013)
  172. Sultana Sh, Rahman Z OJFD 03 (02) 75 (2013)
  173. Abanov A G J. Phys. A: Math. Theor. 46 (29) 292001 (2013)
  174. Dvornikov M J. Phys. A: Math. Theor. 46 (4) 045501 (2013)
  175. de Guillebon L, Chandre C Physics Letters A 376 (45) 3172 (2012)
  176. Lakhturov I, Adytia D, van Groesen E Wave Motion 49 (2) 309 (2012)
  177. Chandre C, Morrison P J, Tassi E Physics Letters A 376 (5) 737 (2012)
  178. Gibbon J D, Holm D D Mathematical Aspects of Fluid Mechanics 1 9 (2012) p. 201
  179. Webb G M, Hu Q et al J. Phys. A: Math. Theor. 45 (2) 025203 (2012)
  180. Clamond D, Dutykh D Physica D: Nonlinear Phenomena 241 (1) 25 (2012)
  181. Dvornikov M Found Phys 42 (11) 1469 (2012)
  182. Kulkarni M, Abanov A G Phys. Rev. A 86 (3) (2012)
  183. Zakharov V E, Kuznetsov E A Uspekhi Fizicheskikh Nauk 182 (6) 569 (2012) [Zakharov V E, Kuznetsov E A Phys.-Usp. 55 (6) 535 (2012)]
  184. Rassmusen A R, Sørensen M P et al Acta Appl Math 115 (1) 43 (2011)
  185. Nazarenko S V Lecture Notes in Physics Vol. Wave TurbulenceWave Turbulence Formalism825 Chapter 6 (2011) p. 67
  186. Felderhof B U, Sokolov V V, Éminov P A The Journal of Chemical Physics 135 (14) (2011)
  187. Amiranashvili Sh, Demircan A Advances in Optical Technologies 2011 1 (2011)
  188. Sokolov V V, Fotov K N, Eminov P A Dokl. Phys. 56 (9) 467 (2011)
  189. Nazarenko S Lecture Notes in Physics Vol. Wave TurbulenceMagneto-Hydrodynamic Turbulence825 Chapter 14 (2011) p. 209
  190. Kuznetsov E A, Dias F Physics Reports 507 (2-3) 43 (2011)
  191. Nakamura T, Bulanov S V et al Phys. Rev. Lett. 105 (13) (2010)
  192. Ruban V P J. Exp. Theor. Phys. 111 (5) 776 (2010)
  193. Zubarev N M, Zubareva O V Phys. Rev. E 82 (4) (2010)
  194. Webb G M, Hu Q et al J. Geophys. Res. 115 (A10) (2010)
  195. Yahalom A Europhys. Lett. 89 (3) 34005 (2010)
  196. Amiranashvili Sh, Demircan A Phys. Rev. A 82 (1) (2010)
  197. Brio M, Webb G M, Zakharian A R Mathematics in Science and Engineering Vol. Numerical Time-Dependent Partial Differential Equations for Scientists and EngineersProblems with Multiple Temporal and Spatial Scales213 (2010) p. 175
  198. Rasmussen A R, Sørensen M P et al Mathematics in Industry Vol. Progress in Industrial Mathematics at ECMI 2008Analytical and Numerical Modelling of Thermoviscous Shocks and Their Interactions in Nonlinear Fluids Including Dissipation15 Chapter 159 (2010) p. 997
  199. Sokolov V V, Fotov K N, Eminov P A Russ Phys J 53 (7) 732 (2010)
  200. Mathematics in Science and Engineering Vol. Numerical Time-Dependent Partial Differential Equations for Scientists and EngineersBibliography213 (2010) p. 273
  201. Kharif Ch, Pelinovsky E, Slunyaev A Rogue Waves in the Ocean Advances in Geophysical and Environmental Mechanics and Mathematics Chapter 3 (2009) p. 33
  202. Sokolov V V, Tolmachev V V, Éminov P A Dokl. Phys. 54 (11) 488 (2009)
  203. Petnikova V M, Shuvalov V V Phys. Rev. E 79 (2) (2009)
  204. Gordeev A V, Losseva T V Plasma Phys. Rep. 35 (2) 118 (2009)
  205. Dünweg B, Ladd A J C Advanced Computer Simulation Approaches for Soft Matter Sciences III Chapter 2 (2009) p. 89
  206. Zubarev N M Jetp Lett. 89 (6) 271 (2009)
  207. Jin-Zhang P, Hong Ya, Yi T Chinese Phys. B 18 (6) 2364 (2009)
  208. Ковалевский М Ю, Kovalevsky M Yu и др ТМФ 158 (2) 277 (2009) [Kovalevskii M Yu, Matskevich V T, Razumnyi A Ya Theor Math Phys 158 (2) 233 (2009)]
  209. Levich E Old and New Concepts of Physics 6 (3) 239 (2009)
  210. YAHALOM ASHER, LYNDEN-BELL DONALD J. Fluid Mech. 607 235 (2008)
  211. Maksimov A O J. Exp. Theor. Phys. 106 (2) 355 (2008)
  212. Radu E, Volkov M S Physics Reports 468 (4) 101 (2008)
  213. Petnikova V M, Shuvalov V V Quantum Electron. 38 (12) 1135 (2008)
  214. Shivamoggi B K, van Heijst G J F Physics Letters A 372 (35) 5688 (2008)
  215. Romanova N N Izv. Atmos. Ocean. Phys. 44 (1) 53 (2008)
  216. Kalashnikova A M, Kimel A V et al Phys. Rev. B 78 (10) (2008)
  217. KUZNETSOV E A J. Fluid Mech. 600 167 (2008)
  218. Gibbon J D Physica D: Nonlinear Phenomena 237 (14-17) 1894 (2008)
  219. Zubarev N M J. Exp. Theor. Phys. 107 (4) 668 (2008)
  220. Гиббон Дж, Gibbon J УМН 62 (3) 47 (2007)
  221. Romanova N N, Yakushkin I G Izv. Atmos. Ocean. Phys. 43 (5) 533 (2007)
  222. Sedletsky Yu V Jetp Lett. 86 (8) 502 (2007)
  223. Petnikova V M, Shuvalov V V Phys. Rev. E 76 (4) (2007)
  224. Agafontsev D S, Dias F, Kuznetsov E A Physica D: Nonlinear Phenomena 225 (2) 153 (2007)
  225. Gutshabash E Sh J Math Sci 143 (1) 2765 (2007)
  226. Sedletsky Yu V J. Phys. A: Math. Gen. 39 (31) L529 (2006)
  227. Morrison P J Encyclopedia of Mathematical Physics (2006) p. 593
  228. Agafontsev D S, Dias F, Kuznetsov E A Jetp Lett. 83 (5) 201 (2006)
  229. Kuznetsov E A JNMP 13 (1) 64 (2006)
  230. Protogenov A P Uspekhi Fizicheskikh Nauk 176 (7) 689 (2006)
  231. Kalashnik M V, Ingel L Kh J. Exp. Theor. Phys. 103 (1) 141 (2006)
  232. Belmont G, Sahraoui F, Rezeau L Advances in Space Research 37 (8) 1503 (2006)
  233. Sedletsky Yu V Physics Letters A 343 (4) 293 (2005)
  234. Dolzhanskii F V Uspekhi Fizicheskikh Nauk 175 (12) 1257 (2005)
  235. Eshraghi H, Abedini Y Journal of Mathematical Physics 46 (4) (2005)
  236. Ruban V P Phys. Rev. E 70 (6) (2004)
  237. Prix R Phys. Rev. D 69 (4) (2004)
  238. Доброхотов С Ю, Dobrokhotov S Yu и др ТМФ 139 (1) 62 (2004) [Dobrokhotov S Yu, Semenov E S, Tirozzi B Theoretical and Mathematical Physics 139 (1) 500 (2004)]
  239. Hall M J W J. Phys. A: Math. Gen. 37 (31) 7799 (2004)
  240. Khomeriki R, Tkeshelashvili L J. Opt. Soc. Am. B 21 (12) 2175 (2004)
  241. Ruban V P, Senchenko S L Phys. Scr. 69 (3) 227 (2004)
  242. Kuznetsov E A, Passot T, Sulem P L Physics of Plasmas 11 (4) 1410 (2004)
  243. Kats A V Phys. Rev. E 69 (4) (2004)
  244. Ignatov A M Plasma Phys. Rep. 30 (1) 44 (2004)
  245. Dellar P J Physics of Plasmas 10 (3) 581 (2003)
  246. Garnier J, Cherfils-Clérouin C, Holstein P -A Phys. Rev. E 68 (3) (2003)
  247. Isaev L S, Protogenov A P J. Exp. Theor. Phys. 96 (6) 1140 (2003)
  248. Ruban V P Phys. Rev. E 67 (6) (2003)
  249. Ruban V P Phys. Rev. E 68 (4) (2003)
  250. Ruban V P, Juul R J Phys. Rev. E 68 (5) (2003)
  251. Sahraoui F, Belmont G, Rezeau L Physics of Plasmas 10 (5) 1325 (2003)
  252. Kats A V Jetp Lett. 77 (12) 657 (2003)
  253. Sedletsky Yu V J. Exp. Theor. Phys. 97 (1) 180 (2003)
  254. Annenkov S Yu, Romanova N N Dokl. Phys. 48 (8) 441 (2003)
  255. Protogenov A P, Verbus V A Jetp Lett. 76 (1) 53 (2002)
  256. Holm D D Geometry, Mechanics, and Dynamics Chapter 4 (2002) p. 169
  257. Ruban V P Phys. Rev. E 65 (4) (2002)
  258. Dellar P J Physics of Plasmas 9 (4) 1130 (2002)
  259. Kats A V Physica D: Nonlinear Phenomena 152-153 459 (2001)
  260. Romanova N N, Yakushkin I G Dokl. Phys. 46 (10) 742 (2001)
  261. Bogdanov A V, Stankova E N Lecture Notes in Computer Science Vol. High-Performance Computing and NetworkingThe Use of Intrinsic Properties of Physical System for Derivation of High-Performance Computational Algorithms2110 Chapter 21 (2001) p. 204
  262. Kuznetsov E A J. Exp. Theor. Phys. 93 (5) 1052 (2001)
  263. Ruban V P, Podolsky D I Phys. Rev. D 64 (4) (2001)
  264. Ruban V P, Podolsky D I, Rasmussen J J Phys. Rev. E 63 (5) (2001)
  265. Zubarev N M, Zubareva O V Tech. Phys. 46 (7) 806 (2001)
  266. Ruban V P Phys. Rev. E 64 (3) (2001)
  267. Graham C R, Henyey F S Physics of Fluids 12 (4) 744 (2000)
  268. Доброхотов С Ю, Dobrokhotov S Yu ТМФ 125 (3) 491 (2000) [Dobrokhotov S Yu Theoretical and Mathematical Physics 125 (3) 1721 (2000)]
  269. Kuznetsov E A, Ruban V P J. Exp. Theor. Phys. 91 (4) 775 (2000)
  270. Kuznetsov E A, Zakharov V E Lecture Notes in Physics Vol. Nonlinear Science at the Dawn of the 21st CenturyNonlinear Coherent Phenomena in Continuous Media542 Chapter 1 (2000) p. 3
  271. Son D T Phys. Rev. Lett. 84 (17) 3771 (2000)
  272. Ruban V P Phys. Rev. E 62 (4) 4950 (2000)
  273. Kuznetsov E A, Ruban V P Phys. Rev. E 61 (1) 831 (2000)
  274. Zaiko Yu N Tech. Phys. Lett. 26 (10) 889 (2000)
  275. V S D Physica D: Nonlinear Phenomena 139 (1-2) 186 (2000)
  276. Ruban V P Phys. Rev. D 62 (12) (2000)
  277. Kuznetsov E A, Ruban V P J. Exp. Theor. Phys. 88 (3) 492 (1999)
  278. Kuznetsov E A J. Exp. Theor. Phys. 89 (1) 163 (1999)
  279. Ruban V P J. Exp. Theor. Phys. 89 (2) 299 (1999)
  280. Rylov Yu A Journal of Mathematical Physics 40 (1) 256 (1999)
  281. Kuznetsov E A Optical Solitons: Theoretical Challenges and Industrial Perspectives Chapter 3 (1999) p. 31
  282. Kuznetsov E A, Ruban V P Lecture Notes in Physics Vol. Nonlinear MHD Waves and TurbulenceDynamics of Vortex and Magnetic Lines in Ideal Hydrodynamics and MHD536 Chapter 14 (1999) p. 346
  283. Yoshikawa T, Balk A M Physics Letters A 251 (3) 184 (1999)
  284. Kuznetsov E A, Ruban V P Jetp Lett. 67 (12) 1076 (1998)
  285. Zakharov V E, Kuznetsov E A J. Exp. Theor. Phys. 86 (5) 1035 (1998)
  286. Vol. MMET Conference Proceedings. 1998 International Conference on Mathematical Methods in Electromagnetic Theory. MMET 98 (Cat. No.98EX114)Hamiltonian approach to the problem of wave collapseV.V.Gushchin1 (1998) p. 266
  287. Berning M, Rubenchik A M Physics of Fluids 10 (7) 1564 (1998)
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