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NONLINEAR WAVES

 a,
a National Research Centre ‘Kurchatov Institute’, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation

CONTENTS
1. Introduction 40
2. Simple waves 40
3. Nonlinear waves in weakly dispersive media 42
4. Self-focusing and self-contraction of wave packets 49
5. Electroacoustic waves 54
6. Dynamic and stochastic interaction of waves 55
7. Conclusion 59

Fulltext pdf (2.1 MB)
Fulltext is also available at DOI: 10.1070/PU1971v014n01ABEH004441
PACS: 52.35.Mw, 52.35.Sb, 52.35.Tc, 52.35.Ra (all)
DOI: 10.1070/PU1971v014n01ABEH004441
URL: https://ufn.ru/en/articles/1971/1/c/
Citation: Kadomtsev B B, Karpman V I "NONLINEAR WAVES" Sov. Phys. Usp. 14 40–60 (1971)
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Îðèãèíàë: Êàäîìöåâ Á Á, Êàðïìàí Â È «Íåëèíåéíûå âîëíû» ÓÔÍ 103 193–232 (1971); DOI: 10.3367/UFNr.0103.197102a.0193

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  2. Pavlenko O V Seismic Waves in Soil Layers Chapter 6 (2024) p. 317
  3. Kadlecová H 65 (1) (2024)
  4. (INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY) Vol. INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGYA generalized direct methods for the loaded nonlinear Degasperis-Procesi equationMuzaffarXasanovOtabekGanjaev3147 (2024) p. 030006
  5. Madhukalya B, Das M et al J. Korean Phys. Soc. 85 633 (2024)
  6. Bernatska Ju Journal Of Geometry And Physics 206 105322 (2024)
  7. Izhar N, Qureshi M N S, Shah H A 13 (8) (2023)
  8. Kadlecova H, Bulanov S V, Silva L O Research Using Extreme Light: Entering New Frontiers with Petawatt-Class Lasers V, (2023) p. 28
  9. Borisov V D Foundations 2 798 (2022)
  10. Zhuravlev V V 512 2636 (2022)
  11. Vitanov N K Entropy 24 1653 (2022)
  12. Urazboev G U, Baltaeva I I, Rakhimov I D J. Appl. Ind. Math. 15 679 (2021)
  13. (INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020) Vol. INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020A system of equations of the two-velocity hydrodynamics without pressureUlugbekTurdiyevKholmatzhonImomnazarov2365 (2021) p. 070002
  14. Erofeev V I, Leonteva A V, Shekoyan A V Advanced Structured Materials Vol. Multiscale Solid MechanicsDispersion, Attenuation and Spatial Localization of Thermoelastic Waves in a Medium with Point Defects141 Chapter 10 (2021) p. 123
  15. Letellier Ch, Abraham R et al 31 (5) (2021)
  16. Kadlecová H, Bulanov S V, Korn G Plasma Phys. Control. Fusion 61 084002 (2019)
  17. Kichatov B, Korshunov A et al International Journal Of Hydrogen Energy 44 31567 (2019)
  18. Akselsen A H, Ellingsen S Å J. Fluid Mech. 863 114 (2019)
  19. Abrashkin A A, Pelinovsky E N Uspekhi Fizicheskikh Nauk 188 329 (2018) [Abrashkin A A, Pelinovsky E N Phys.-Usp. 61 307 (2018)]
  20. Ryutova M Astrophysics And Space Science Library Vol. Physics of Magnetic Flux TubesNonlinear Wave Phenomena in Dense Conglomerate of Flux Tubes455 Chapter 9 (2018) p. 239
  21. Mercado V, El-Sekelly W et al Soil Dynamics And Earthquake Engineering 115 787 (2018)
  22. Ryutova M Astrophysics And Space Science Library Vol. Physics of Magnetic Flux TubesSolutions455 Chapter 24 (2018) p. 671
  23. Efimov V B Phys.-Usp. 61 929 (2018)
  24. Ryutova M Astrophysics And Space Science Library Vol. Physics of Magnetic Flux TubesCollective Phenomena in Rarefied Ensembles of Flux Tubes455 Chapter 6 (2018) p. 147
  25. Efimov V B Uspekhi Fizicheskikh Nauk 188 (10) (2018)
  26. Kono M, Pécseli H L J. Plasma Phys. 83 (6) (2017)
  27. Waves and Oscillations in Plasmas 0 (2016) p. 535
  28. Guio P, Pécseli H L Phys. Rev. E 93 (4) (2016)
  29. Lupichev L N, Savin A V, Kadantsev V N Synergetics of Molecular Systems Springer Series In Synergetics Chapter 7 (2015) p. 243
  30. Suazo E, Suslov S, Vega-Guzmán J Mathematics 2 96 (2014)
  31. Karbyshev D, Hvesyuk V, Chirkov A S&E BMSTU 14 (11) (2014)
  32. Bulanov S V, Esirkepov T Zh et al Uspekhi Fizicheskikh Nauk 183 449 (2013) [Bulanov S V, Esirkepov T Zh et al Phys.-Usp. 56 429 (2013)]
  33. Efimov V B, Ganshin A N, McClintock P V E Phys. Rev. B 86 (5) (2012)
  34. Boardman A D, Mitchell-Thomas R C et al Optics Communications 283 1585 (2010)
  35. Kalita B C, Barman S N Astrophys Space Sci 330 311 (2010)
  36. Boardman A D, Hess O et al Photonics And Nanostructures - Fundamentals And Applications 8 228 (2010)
  37. Kalita B C, Barman S N 16 (5) (2009)
  38. Efimov V B, Ganshin A, McClintock P V E Phys. Rev. E 78 (6) (2008)
  39. Lan T, Liu A D et al Plasma Phys. Control. Fusion 50 045002 (2008)
  40. Lan T, Liu A D et al 15 (5) (2008)
  41. Handbook of the Solar-Terrestrial Environment Chapter 12 (2007) p. 311
  42. Lapin V G, Tamoikin V V, Fainshtein S M Radiophys Quantum Electron 49 885 (2006)
  43. Tsunamis and Hurricanes Chapter 3 (2006) p. 91
  44. Shukla P K, Eliasson B et al 11 2311 (2004)
  45. Ivlev A V, Zhdanov S K, Morfill G E Phys. Rev. E 68 (6) (2003)
  46. Borich M A, Kobelev A V et al J. Phys.: Condens. Matter 15 8543 (2003)
  47. Pavlenko O V, Irikura K Geophysical Research Letters 29 (19) (2002)
  48. Shevchenko V I, Galinsky V L, Ride S K J.‐Geophys.‐Res. 107 (A11) (2002)
  49. Barkovsky L M, Furs A N Acoust. Phys. 48 128 (2002)
  50. Tsintsadze N L, Mima K et al 9 4270 (2002)
  51. Sadykov N R Opt. Spectrosc. 90 731 (2001)
  52. Yaroshenko V V, Verheest F 7 3983 (2000)
  53. Nishikawa K, Wakatani M Plasma Physics Chapter 8 (2000) p. 136
  54. Lou Sen-yue Chinese Phys. Lett. 16 659 (1999)
  55. Osipov V Yu Tech. Phys. 43 1075 (1998)
  56. Boardman A D, Bontemps P, Xie K J. Opt. Soc. Am. B 14 3119 (1997)
  57. Pelinovsky D E, Shrira V I Physics Letters A 206 195 (1995)
  58. Nonlinear Oscillations 1 (1995) p. 617
  59. Kalita Bhaben Chandra, Barman Satyendra Nath J. Phys. Soc. Jpn. 64 784 (1995)
  60. Nishikawa K, Wakatani M Plasma Physics Chapter 8 (1994) p. 136
  61. Chen M, Tsankov M A et al Phys. Rev. B 49 12773 (1994)
  62. L’vov V S Wave Turbulence Under Parametric Excitation Springer Series In Nonlinear Dynamics Chapter 8 (1994) p. 213
  63. Kalita B C, Bhatta R P 1 2172 (1994)
  64. Porsezian K Physics Letters A 191 229 (1994)
  65. Mofiz U A, Mamun A A 5 1667 (1993)
  66. Nezlin M V, Snezhkin E N Rossby Vortices, Spiral Structures, Solitons Springer Series In Nonlinear Dynamics Chapter 5 (1993) p. 43
  67. Zhdanov S K, Trubnikov B A J Math Sci 65 1711 (1993)
  68. Kalita B C, Devi N 5 440 (1993)
  69. Mofiz U A Phys. Scr. 47 235 (1993)
  70. Mofiz U A, Mamun A A 4 3806 (1992)
  71. Stenzel R L 3 2568 (1991)
  72. Bingham R Phys. Scr. T30 24 (1990)
  73. Mjølhus E, Hada T J. Plasma Phys. 43 257 (1990)
  74. Vigdorchik N E Soviet Physics Journal 33 978 (1990)
  75. Kudryashov N A Journal Of Applied Mathematics And Mechanics 54 372 (1990)
  76. Rabinovich M I, Trubetskov D I Oscillations and Waves Chapter 18 (1989) p. 375
  77. Rabinovich M I, Trubetskov D I Oscillations and Waves Chapter 19 (1989) p. 395
  78. Rabinovich M I, Trubetskov D I Oscillations and Waves Chapter 20 (1989) p. 417
  79. Mofiz U A Phys. Rev. A 40 2203 (1989)
  80. Yang X D, Joets A, Ribotta R Springer Series In Synergetics Vol. Propagation in Systems Far from EquilibriumLocalized Instabilites and Nucleation of Dislocations in Convective Rolls41 Chapter 17 (1988) p. 194
  81. Yu M Y, Chu Chen-chi Phys. Scr. 38 724 (1988)
  82. Bakurov V G Theor Math Phys 76 676 (1988)
  83. Trubnikov B A, Zhdanov S K Physics Reports 155 137 (1987)
  84. Chela-Flores J, Ghassib H B Int J Theor Phys 26 1039 (1987)
  85. McKinstrie C J, Forslund D W 30 904 (1987)
  86. Akhmanov S A, Vysloukh V A, Chirkin A S Uspekhi Fizicheskikh Nauk 149 449 (1986)
  87. Akhmanov S A Uspekhi Fizicheskikh Nauk 149 361 (1986)
  88. L’VOV Victor S Modern Problems In Condensed Matter Sciences Vol. SolitonsSolitons and Nonlinear Phenomena in Parametrically Excited Spin Waves17 (1986) p. 241
  89. Pecseli H L IEEE Trans. Plasma Sci. 13 53 (1985)
  90. Kolykhalov P I Fluid Dyn 19 465 (1984)
  91. Vigdorchik N E Radiophys Quantum Electron 27 634 (1984)
  92. Intrator T, Chan C et al Phys. Rev. Lett. 53 1233 (1984)
  93. Dash S S, But B Plasma Phys. 25 341 (1983)
  94. Pavlenko Yu G Soviet Physics Journal 26 716 (1983)
  95. Chan V S, Chiu S C 25 683 (1982)
  96. Handbook on Plasma Instabilities (1982) p. 1309
  97. Lakhina G S, Buti B Astrophys Space Sci 79 25 (1981)
  98. Lamb G L, McLaughlin D W Topics In Current Physics Vol. SolitonsAspects of Soliton Physics17 Chapter 2 (1980) p. 65
  99. Joseph R I Physics Letters A 76 137 (1980)
  100. Biswas A C, Warke C S Phys. Rev. B 22 2581 (1980)
  101. Kim Y C, Khadra L, Powers E J 23 2250 (1980)
  102. Kunhardt E E, Cheo B R-Sh Plasma Phys. 21 237 (1979)
  103. Kawahara T, Jeffrey A Wave Motion 1 83 (1979)
  104. Han S J Phys. Rev. A 20 2568 (1979)
  105. Novikov A A Radiophys Quantum Electron 22 77 (1979)
  106. Ikeda K, Akimoto O J. Phys. A: Math. Gen. 12 1907 (1979)
  107. Huberman B A Phys. Rev. Lett. 41 1389 (1978)
  108. Nuritdinov S N Astrophysics 13 413 (1978)
  109. Shelepin L A Coherent Cooperative Phenomena Chapter 1 (1978) p. 1
  110. Cohen B I, Kaufman A N 21 404 (1978)
  111. Ikezi H, Schwarzenegger K et al 21 239 (1978)
  112. Dysthe K B, Mj lhus E et al Plasma Phys. 20 1087 (1978)
  113. Makhankov V G Physics Reports 35 1 (1978)
  114. Chen H H, Liu C S 21 377 (1978)
  115. Mjølhus E J. Plasma Phys. 19 437 (1978)
  116. Shukla P K, Tagare S G Contrib Plasma Phys 17 363 (1977)
  117. Kunhardt E E, Cheo B Ru-shao 20 1499 (1977)
  118. Ermakov S A, Pelinovskii E N, Tamoikin V V Radiophys Quantum Electron 20 502 (1977)
  119. Kono M, Yajima N J. Phys. Soc. Jpn. 43 1745 (1977)
  120. Goncharov V V, Naugol’nykh K A, Rybak S A J Appl Mech Tech Phys 17 824 (1977)
  121. Sato N, Saeki K, Hatakeyama R Phys. Rev. Lett. 38 1480 (1977)
  122. Novikov A A Fluid Dyn 12 315 (1977)
  123. Gell Y Phys. Rev. A 16 402 (1977)
  124. Nakach R Plasma Physics Chapter 31 (1977) p. 456
  125. Cohen B I, Kaufman A N 20 1113 (1977)
  126. Nakoryakov V E, Sobolev V V et al Fluid Dyn 11 493 (1977)
  127. Kato K, Mima K J. Phys. Soc. Jpn. 42 255 (1977)
  128. Schneider T, Stoll E Phys. Rev. B 13 1216 (1976)
  129. Obukhov A M Radiophys Quantum Electron 19 614 (1976)
  130. Rabinovich M I, Fabrikant A L Radiophys Quantum Electron 19 508 (1976)
  131. Brekhovskikh L M, Goncharov V V et al Radiophys Quantum Electron 19 598 (1976)
  132. Mjølhus E J. Plasma Phys. 16 321 (1976)
  133. Fried B D, Ikemura T et al 19 1975 (1976)
  134. Driscoll C F, O’Neil T M 17 1196 (1976)
  135. Tasi Ja Phys. Rev. B 14 2358 (1976)
  136. Ionson J A, Ong R S B Plasma Phys. 18 809 (1976)
  137. Spatschek K H, Shukla P K, Yu M Y Physics Letters A 54 419 (1975)
  138. Liu V C Geophysical Research Letters 2 485 (1975)
  139. Schneider T, Stoll E Phys. Rev. Lett. 35 296 (1975)
  140. Toda M Physics Reports 18 1 (1975)
  141. Kawahara T J. Phys. Soc. Jpn. 38 1200 (1975)
  142. Kawahara T, Sugimoto N, Kakutani T J. Phys. Soc. Jpn. 39 1379 (1975)
  143. Gurevich A V, Pitaevsky L P Progress In Aerospace Sciences 16 227 (1975)
  144. Boozer A H 18 919 (1975)
  145. Non-Linear Waves in Dispersive Media (1975) p. 177
  146. Bogatyrev Yu K, Fainshtein S M Radiophys Quantum Electron 18 658 (1975)
  147. Novikov S P Funct Anal Its Appl 8 236 (1975)
  148. Burdukov A P, Kuznetsov V V et al J Appl Mech Tech Phys 14 349 (1975)
  149. Inoue Y J. Phys. Soc. Jpn. 39 1092 (1975)
  150. Sobolev V V J Appl Mech Tech Phys 14 344 (1975)
  151. Armstrong J A Phys. Rev. A 11 963 (1975)
  152. Solntsev V A Radiophys Quantum Electron 17 464 (1974)
  153. Tamoikin V V, Fainshtein S M Radiophys Quantum Electron 17 853 (1974)
  154. Max C E, Arons J, Langdon A B Phys. Rev. Lett. 33 209 (1974)
  155. Grabec I, Mikac S Plasma Phys. 16 1155 (1974)
  156. Saichev A I Radiophys Quantum Electron 17 781 (1974)
  157. Ostrovskii L A Radiophys Quantum Electron 17 344 (1974)
  158. Malakhov A N, Saichev A I Radiophys Quantum Electron 17 526 (1974)
  159. Grischkowsky D, Courtens E, Armstrong J A Laser Spectroscopy Chapter 25 (1974) p. 333
  160. Nishikawa K, Hojo H et al Phys. Rev. Lett. 33 148 (1974)
  161. Rabinovich M I, Shtil’man L E Radiophys Quantum Electron 16 1299 (1973)
  162. Ďatlov J, Klíma R et al Czech J Phys 23 1315 (1973)
  163. Dobrowolny M, Formisano V La Rivista Del Nuovo Cimento 3 419 (1973)
  164. Rabinovich M I, Reutov V P Radiophys Quantum Electron 16 625 (1973)
  165. Grischkowsky D, Courtens E, Armstrong J A Phys. Rev. Lett. 31 422 (1973)
  166. Karnaukhov V G Soviet Applied Mechanics 9 376 (1973)
  167. Oikawa M, Yajima N J. Phys. Soc. Jpn. 34 1093 (1973)
  168. Wahlquist H D, Estabrook F B Phys. Rev. Lett. 31 1386 (1973)
  169. Galeev A A, Sagdeev R Z Nucl. Fusion 13 603 (1973)
  170. Sharma S C Physics Letters A 45 61 (1973)
  171. Schamel H J. Plasma Phys. 9 377 (1973)
  172. Zabusky N J Computer Physics Communications 5 1 (1973)
  173. Hunkins K, Fliegel M J. Geophys. Res. 78 539 (1973)
  174. Plasma Astrophysics (1973) p. 289
  175. Nakoryakov V E, Sobolev V V, Shreiber I R Fluid Dyn 7 763 (1972)
  176. Schamel H Plasma Phys. 14 905 (1972)
  177. Nayfeh A H, Saric W S J. Fluid Mech. 55 311 (1972)
  178. Sanuki H, Shimizu K, Todoroki J J. Phys. Soc. Jpn. 33 198 (1972)
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