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1997

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Обзоры актуальных проблем


Солитоны и их взаимодействия в классической теории поля

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Государственный научный центр Российской Федерации «Институт теоретической и экспериментальной физики им. А.И. Алиханова», ул. Б. Черемушкинская 25, Москва, 117259, Российская Федерация

Рассматриваются эффекты нелинейности в классической теории поля для неинтегрируемых систем, а именно, рассеяние и связанные состояния солитонов, фрактальный характер образования резонансных структур, рассеяние кинков на неоднородностях, схлопывание доменных пузырей. Представлены результаты как в (1+1)-измерении, так и в бóльших размерностях. Рассмотрены как нейтральные, так и заряженные скалярные поля. Обсуждаются области применения рассматриваемых явлений.

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English fulltext is available at DOI: 10.1070/PU1997v040n04ABEH000227
PACS: 03.50.−z, 03.50.Kk, 52.35.Py, 52.35.Sb (все)
DOI: 10.3367/UFNr.0167.199704b.0377
URL: https://ufn.ru/ru/articles/1997/4/b/
A1997XB47600002
Цитата: Белова Т И, Кудрявцев А Е "Солитоны и их взаимодействия в классической теории поля" УФН 167 377–406 (1997)
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English citation: Belova T I, Kudryavtsev A E “Solitons and their interactions in classical field theoryPhys. Usp. 40 359–386 (1997); DOI: 10.1070/PU1997v040n04ABEH000227

Список литературы (179) Статьи, ссылающиеся на эту (130) ↓ Похожие статьи (20)

  1. Alonso-Izquierdo A, Miguélez-Caballero D, Nieto L M Physica D: Nonlinear Phenomena 471 134438 (2025)
  2. Гани В А, Нагорнов О В Вестник 14 (6) 492 (2025)
  3. Lima F C E, Almeida C A S, Casana R Eur. Phys. J. Plus 140 (3) (2025)
  4. Belendryasova E, Blinov P A et al Chaos, Solitons & Fractals 194 116170 (2025)
  5. Alexeeva N V, Barashenkov I V et al J. High Energ. Phys. 2024 (10) (2024)
  6. Saadatmand D, Moradi M A et al Chaos, Solitons & Fractals 180 114550 (2024)
  7. Galiev Sh U Extreme Multivalued Waves as a Model of Everything Chapter 7 (2024) p. 327
  8. Karpíšek Ondřej Nicolas, Rafaj Lukáš, Blaschke F Progress of Theoretical and Experimental Physics 2024 (11) (2024)
  9. Galiev Sh U Extreme Multivalued Waves as a Model of Everything Chapter 1 (2024) p. 3
  10. Derendorf P, Volkov A F, Eremin I M Phys. Rev. B 110 (14) (2024)
  11. Wang H, Zhong Yu, Wang Z Physics Letters B 858 139071 (2024)
  12. Zav’yalov D V, Konchenkov V I, Kryuchkov S V Tech. Phys. 69 (4) 1075 (2024)
  13. Gani V A, Marjaneh A M EPL 148 (2) 24001 (2024)
  14. Ismael H F, Sulaiman T A et al Results in Physics 45 106220 (2023)
  15. Ismael H F, Sulaiman T A et al Nonlinear Dyn 111 (10) 9457 (2023)
  16. Pereira C  F  S, dos Santos C F E, Tassis T Int. J. Mod. Phys. A 38 (01) (2023)
  17. Zhang G, Christov I C, Rahman A Mechanics Research Communications 134 104215 (2023)
  18. Ismael H F, Sulaiman T A Chaos, Solitons & Fractals 169 113213 (2023)
  19. Mohammadi M, Momeni E Chaos, Solitons & Fractals 165 112834 (2022)
  20. Mohammadi M, Momeni E SSRN Journal (2022)
  21. Carretero-González R, Cisneros-Ake L A et al Communications in Nonlinear Science and Numerical Simulation 109 106123 (2022)
  22. Guo H Phys. Rev. D 106 (9) (2022)
  23. Blinov P A, Gani T V et al Chaos, Solitons & Fractals 165 112805 (2022)
  24. Gani V A, Gorina A et al Eur. Phys. J. C 82 (8) (2022)
  25. Khare A, Saxena A Front. Phys. 10 (2022)
  26. Tsolias G A, Decker R J et al J. Phys. A: Math. Theor. 54 (22) 225701 (2021)
  27. Gladkikh A A, Malinetskii G G Math Models Comput Simul 13 (2) 301 (2021)
  28. Mohammadi M, Dehghani R Communications in Nonlinear Science and Numerical Simulation 94 105575 (2021)
  29. Moazzemi R, Ettefaghi M M, Mojavezi A Nuclear Physics B 965 115343 (2021)
  30. Decker R J, Demirkaya A et al Communications in Nonlinear Science and Numerical Simulation 97 105747 (2021)
  31. Christov I C, Decker R J et al Communications in Nonlinear Science and Numerical Simulation 97 105748 (2021)
  32. Lizunova M, Kager Ja et al J. Phys. A: Math. Theor. 54 (31) 315701 (2021)
  33. Belendryasova E, Gani V A, Zloshchastiev K G Physics Letters B 823 136776 (2021)
  34. Гладких А А, Gladkikh A A и др Математическое моделирование 32 (8) 43 (2020)
  35. Gani V A, Marjaneh A M, Blinov P A Phys. Rev. D 101 (12) (2020)
  36. Decker R J, Demirkaya A et al J. Phys. A: Math. Theor. 53 (37) 375702 (2020)
  37. Gani V A, Moradi M A J. Phys.: Conf. Ser. 1690 (1) 012096 (2020)
  38. Simas F C, Lima F C et al J. High Energ. Phys. 2020 (12) (2020)
  39. Trukhachev F M, Vasiliev M M, Petrov O F High Temp 58 (4) 520 (2020)
  40. Zhong Yu, Du X-L et al J. High Energ. Phys. 2020 (2) (2020)
  41. Gani V A J. Phys.: Conf. Ser. 1690 (1) 012095 (2020)
  42. Bazeia D, Gomes A R et al Physics Letters B 803 135291 (2020)
  43. Belendryasova E, Gani V A Communications in Nonlinear Science and Numerical Simulation 67 414 (2019)
  44. Christov I C, Decker R J et al Phys. Rev. D 99 (1) (2019)
  45. Ross R M, Kevrekidis P G et al Nonlinear Systems and Complexity Vol. A Dynamical Perspective on the ɸ4 Model$$phi ^4$$ Solitary Waves in a Parabolic Potential: Existence, Stability, and Collisional Dynamics26 Chapter 10 (2019) p. 213
  46. Belendryasova E, Gani V A et al J. Phys.: Conf. Ser. 1205 012007 (2019)
  47. Barashenkov I Nonlinear Systems and Complexity Vol. A Dynamical Perspective on the ɸ4 ModelThe Continuing Story of the Wobbling Kink26 Chapter 9 (2019) p. 187
  48. Weigel H Nonlinear Systems and Complexity Vol. A Dynamical Perspective on the ɸ4 ModelCollective Coordinate Methods and Their Applicability to $$phi ^4$$ Models26 Chapter 3 (2019) p. 51
  49. Romańczukiewicz T, Shnir Ya Nonlinear Systems and Complexity Vol. A Dynamical Perspective on the ɸ4 ModelSome Recent Developments on Kink Collisions and Related Topics26 Chapter 2 (2019) p. 23
  50. Popov S P Comput. Math. and Math. Phys. 59 (1) 150 (2019)
  51. Saxena A, Christov I C, Khare A Nonlinear Systems and Complexity Vol. A Dynamical Perspective on the ɸ4 ModelHigher-Order Field Theories: $$phi ^6$$ , $$phi ^8$$ and Beyond26 Chapter 12 (2019) p. 253
  52. Gani V A, Moradi M A, Saadatmand D Eur. Phys. J. C 79 (7) (2019)
  53. Bazeia D, Gomes A R et al Int. J. Mod. Phys. A 34 (31) 1950200 (2019)
  54. Slipko V A, Pershin Yu V Handbook of Memristor Networks Chapter 33 (2019) p. 955
  55. Bazeia D, Belendryasova E, Gani V A Eur. Phys. J. C 78 (4) (2018)
  56. Gani V A, Kirillov A A, Rubin S G J. Cosmol. Astropart. Phys. 2018 (04) 042 (2018)
  57. Gani V A, Marjaneh A M et al Eur. Phys. J. C 78 (4) (2018)
  58. Ekomasov E G, Gumerov A M et al Braz J Phys 48 (6) 576 (2018)
  59. Saadatmand D, Borisov D I et al Communications in Nonlinear Science and Numerical Simulation 56 62 (2018)
  60. Kevrekidis P G, Danaila I et al Phys. Rev. E 98 (5) (2018)
  61. Popov S P Comput. Math. and Math. Phys. 58 (3) 437 (2018)
  62. Marjaneh A M, Askari A et al Eur. Phys. J. B 91 (1) (2018)
  63. Kudryavtsev A E, Lizunova M A Phys. Rev. D 95 (5) (2017)
  64. Gani V A, Kirillov A A, Rubin S G J. Phys.: Conf. Ser. 934 012046 (2017)
  65. Demirkaya A, Decker R et al J. High Energ. Phys. 2017 (12) (2017)
  66. Ekomasov E G, Gumerov A M, Kudryavtsev R V Journal of Computational and Applied Mathematics 312 198 (2017)
  67. Yamaletdinov R D, Slipko V A, Pershin Y V Phys. Rev. B 96 (9) (2017)
  68. Moradi M A, Gani V A et al J. High Energ. Phys. 2017 (7) (2017)
  69. Radomskiy R V, Mrozovskaya E V et al J. Phys.: Conf. Ser. 798 012087 (2017)
  70. Marjaneh A M, Saadatmand D et al Communications in Nonlinear Science and Numerical Simulation 49 30 (2017)
  71. Shokirov F Sh Bulletin of the SUSU. MMP 10 (4) 132 (2017)
  72. Popov S P Comput. Math. and Math. Phys. 57 (9) 1540 (2017)
  73. Gani V A, Lizunova M A, Radomskiy R V J. Phys.: Conf. Ser. 675 (1) 012020 (2016)
  74. Gani V A, Lensky V et al J. Phys.: Conf. Ser. 675 (1) 012019 (2016)
  75. Simas F C, Gomes A R et al J. High Energ. Phys. 2016 (9) (2016)
  76. Saadatmand D, Dmitriev S V et al Jetp Lett. 101 (7) 497 (2015)
  77. Ekomasov E G, Gumerov A M, Kudryavtsev R V Jetp Lett. 101 (12) 835 (2015)
  78. Gani V A, Lensky V, Lizunova M A J. High Energ. Phys. 2015 (8) (2015)
  79. Sedov E S, Charukhchyan M V et al 2015 Days on Diffraction (DD), (2015) p. 1
  80. (Saratov Fall Meeting 2014: Optical Technologies in Biophysics and Medicine XVI; Laser Physics and Photonics XVI; and Computational Biophysics) Vol. Saratov Fall Meeting 2014: Optical Technologies in Biophysics and Medicine XVI; Laser Physics and Photonics XVI; and Computational BiophysicsModel for spin waves and lasing in monolayer graphene filmsElina A.GeninaVladimir L.DerbovKirill V.LarinDmitry E.PostnovValery V.TuchinVladimir L.DerbovDmitry D.GrachevLeonid A.SevastyanovKonstantin P.LovetskiySergey I.VinitskyAlexander A.Gusev9448 (2015) p. 94481W
  81. Galiev Sh U Darwin, Geodynamics and Extreme Waves Chapter 5 (2015) p. 141
  82. Saadatmand D, Dmitriev S V et al Communications in Nonlinear Science and Numerical Simulation 29 (1-3) 267 (2015)
  83. Charukhchyan M V, Sedov E S et al Phys. Rev. A 89 (6) (2014)
  84. Gani V A, Kudryavtsev A E, Lizunova M A Phys. Rev. D 89 (12) (2014)
  85. GRACHEV D D, SEVASTYANOV L A et al SPIN 04 (03) 1450005 (2014)
  86. Kevrekidis P G Phys. Rev. A 89 (1) (2014)
  87. Chirilus-Bruckner M, Chong C et al Nonlinear Systems and Complexity Vol. The sine-Gordon Model and its Applicationssine-Gordon Equation: From Discrete to Continuum10 Chapter 2 (2014) p. 31
  88. Gumerov A M, Ekomasov E G et al Comput. Math. and Math. Phys. 54 (3) 491 (2014)
  89. Popov S P Comput. Math. and Math. Phys. 54 (12) 1876 (2014)
  90. Kryuchkov S V, Kukhar’ E I, Zav’yalov D V Laser Phys. 23 (6) 065902 (2013)
  91. Cuevas Je, Kevrekidis P G et al Phys. Rev. A 88 (3) (2013)
  92. Popov S P Comput. Math. and Math. Phys. 53 (12) 1891 (2013)
  93. Shnir Ya M Phys. Part. Nuclei Lett. 9 (9-10) 745 (2012)
  94. Ekomasov E G, Murtazin R R, Azamatov Sh A Phys. Solid State 54 (8) 1584 (2012)
  95. Halavanau A, Romanczukiewicz T, Shnir Ya Phys. Rev. D 86 (8) (2012)
  96. CUEVAS J, KOUKOULOYANNIS V et al Int. J. Bifurcation Chaos 21 (08) 2161 (2011)
  97. Demidov S V, Levkov D G J. High Energ. Phys. 2011 (6) (2011)
  98. Gani V A, Ksenzov V G, Kudryavtsev A E Phys. Atom. Nuclei 74 (5) 771 (2011)
  99. Gani V A, Ksenzov V G, Kudryavtsev A E Phys. Atom. Nuclei 73 (11) 1889 (2010)
  100. Smirnov L I Phys. Metals Metallogr. 109 (2) 107 (2010)
  101. Baimova J A, Bebikhov Yu V et al Russ Phys J 53 (3) 231 (2010)
  102. Hertzberg M P Phys. Rev. D 82 (4) (2010)
  103. Romanczukiewicz T, Shnir Ya Phys. Rev. Lett. 105 (8) (2010)
  104. Dmitriev S V, Frantzeskakis D J Springer Tracts in Modern Physics Vol. The Discrete Nonlinear Schrödinger EquationSolitary Wave Collisions232 Chapter 17 (2009) p. 311
  105. Barashenkov I V, Oxtoby O F Phys. Rev. E 80 (2) (2009)
  106. Окстоби О Ф, Oxtoby O F и др ТМФ 159 (3) 527 (2009)
  107. Bogdan M M, Charkina O V Low Temperature Physics 34 (7) 564 (2008)
  108. Dmitriev S V, Kevrekidis P G, Kivshar Yu S Phys. Rev. E 78 (4) (2008)
  109. Puzynin I V, Boyadzhiev T L et al Phys. Part. Nuclei 38 (1) 70 (2007)
  110. Loginov A Yu Phys. Atom. Nuclei 70 (5) 945 (2007)
  111. Zhu Y, Yang J Phys. Rev. E 75 (3) (2007)
  112. Busch K, von Freymann G et al Physics Reports 444 (3-6) 101 (2007)
  113. Ludu A, Kevrekidis P G Mathematics and Computers in Simulation 74 (2-3) 229 (2007)
  114. Roy I, Dmitriev S V et al Phys. Rev. E 76 (2) (2007)
  115. Kevrekidis P G, Khare A et al Mathematics and Computers in Simulation 74 (4-5) 405 (2007)
  116. Dzedolik I V Tech. Phys. 51 (7) 932 (2006)
  117. Dmitriev S V, Kevrekidis P G, Yoshikawa N J. Phys. A: Math. Gen. 39 (23) 7217 (2006)
  118. Koutvitsky V A, Maslov E M Journal of Mathematical Physics 47 (2) (2006)
  119. Dmitriev S V, Kevrekidis P G et al Phys. Rev. E 74 (4) (2006)
  120. Vol. Proceedings of CAOL 2005. Second International Conference on Advanced Optoelectronics and Lasers, 2005.Three-dimensional solitary waves in dielectric mediumI.V.Dzedolik2 (2005) p. 148
  121. Koutvitsky V A, Maslov E M Physics Letters A 336 (1) 31 (2005)
  122. Knyazev M A Russ Phys J 48 (5) 483 (2005)
  123. Kevrekidis P G, Dmitriev S V et al Phys. Rev. E 70 (6) (2004)
  124. Galiev Sh U, Panova O P Strength of Materials 34 (1) 73 (2002)
  125. Gani1 V A, Belova T I, Kudryavtsev A E Phys. Atom. Nuclei 64 (1) 140 (2001)
  126. Galiev Sh U, Galiyev T Sh Chaos: An Interdisciplinary Journal of Nonlinear Science 11 (3) 686 (2001)
  127. Obrant G Z, Ryskin M G Phys. Rev. C 62 (2) (2000)
  128. Kivshar Yu S, Benner H, Braun O M Lecture Notes in Physics Vol. Nonlinear Science at the Dawn of the 21st CenturyNonlinear Models for the Dynamics of Topological Defects in Solids542 Chapter 13 (2000) p. 265
  129. Gani V A, Kudryavtsev A E Phys. Rev. E 60 (3) 3305 (1999)
  130. Braun O M, Kivshar Yu S Physics Reports 306 (1-2) 1 (1998)

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