Выпуски

 / 

1997

 / 

Апрель

  

Обзоры актуальных проблем


Солитоны и их взаимодействия в классической теории поля

,
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.

Текст pdf (586 Кб)
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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 (117) ↓ Похожие статьи (20)

  1. Saadatmand D, Moradi M A et al Chaos, Solitons & Fractals 180 114550 (2024)
  2. Pereira C  F  S, dos Santos C F E, Tassis T Int. J. Mod. Phys. A 38 (01) (2023)
  3. Ismael H F, Sulaiman T A Chaos, Solitons & Fractals 169 113213 (2023)
  4. Ismael H F, Sulaiman T A et al Nonlinear Dyn 111 9457 (2023)
  5. Ismael H F, Sulaiman T A et al Results in Physics 45 106220 (2023)
  6. Zhang G, Christov I C, Rahman A Mechanics Research Communications 134 104215 (2023)
  7. Khare A, Saxena A Front. Phys. 10 (2022)
  8. Blinov P A, Gani T V et al Chaos, Solitons & Fractals 165 112805 (2022)
  9. Gani V A, Gorina A et al Eur. Phys. J. C 82 (8) (2022)
  10. Guo H Phys. Rev. D 106 (9) (2022)
  11. Mohammadi M, Momeni E SSRN Journal (2022)
  12. Carretero-González R, Cisneros-Ake L A et al Communications in Nonlinear Science and Numerical Simulation 109 106123 (2022)
  13. Mohammadi M, Momeni E Chaos, Solitons & Fractals 165 112834 (2022)
  14. Moazzemi R, Ettefaghi M M, Mojavezi A Nuclear Physics B 965 115343 (2021)
  15. Gladkikh A A, Malinetskii G G Math Models Comput Simul 13 301 (2021)
  16. Tsolias G A, Decker R J et al J. Phys. A: Math. Theor. 54 225701 (2021)
  17. Decker R J, Demirkaya A et al Communications in Nonlinear Science and Numerical Simulation 97 105747 (2021)
  18. Belendryasova E, Gani V A, Zloshchastiev K G Physics Letters B 823 136776 (2021)
  19. Lizunova M, Kager Ja et al J. Phys. A: Math. Theor. 54 315701 (2021)
  20. Christov I C, Decker R J et al Communications in Nonlinear Science and Numerical Simulation 97 105748 (2021)
  21. Mohammadi M, Dehghani R Communications in Nonlinear Science and Numerical Simulation 94 105575 (2021)
  22. Bazeia D, Gomes A R et al Physics Letters B 803 135291 (2020)
  23. Zhong Yu, Du X-L et al J. High Energ. Phys. 2020 (2) (2020)
  24. Gani V A, Marjaneh A M, Blinov P A Phys. Rev. D 101 (12) (2020)
  25. Simas F C, Lima F C et al J. High Energ. Phys. 2020 (12) (2020)
  26. Gani V A, Moradi M A J. Phys.: Conf. Ser. 1690 012096 (2020)
  27. Decker R J, Demirkaya A et al J. Phys. A: Math. Theor. 53 375702 (2020)
  28. Гладких А А, Gladkikh A A и др Математическое моделирование 32 43 (2020)
  29. Trukhachev F M, Vasiliev M M, Petrov O F High Temp 58 520 (2020)
  30. Gani V A J. Phys.: Conf. Ser. 1690 012095 (2020)
  31. Belendryasova E, Gani V A Communications in Nonlinear Science and Numerical Simulation 67 414 (2019)
  32. 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
  33. 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
  34. 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
  35. Belendryasova E, Gani V A et al J. Phys.: Conf. Ser. 1205 012007 (2019)
  36. 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
  37. Slipko V A, Pershin Yu V Handbook of Memristor Networks Chapter 33 (2019) p. 955
  38. Popov S P Comput. Math. and Math. Phys. 59 150 (2019)
  39. Bazeia D, Gomes A R et al Int. J. Mod. Phys. A 34 1950200 (2019)
  40. Gani V A, Moradi M A, Saadatmand D Eur. Phys. J. C 79 (7) (2019)
  41. 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
  42. Christov I C, Decker R J et al Phys. Rev. D 99 (1) (2019)
  43. Gani V A, Marjaneh A M et al Eur. Phys. J. C 78 (4) (2018)
  44. Popov S P Comput. Math. and Math. Phys. 58 437 (2018)
  45. Gani V A, Kirillov A A, Rubin S G J. Cosmol. Astropart. Phys. 2018 042 (2018)
  46. Marjaneh A M, Askari A et al Eur. Phys. J. B 91 (1) (2018)
  47. Ekomasov E G, Gumerov A M et al Braz J Phys 48 576 (2018)
  48. Bazeia D, Belendryasova E, Gani V A Eur. Phys. J. C 78 (4) (2018)
  49. Kevrekidis P G, Danaila I et al Phys. Rev. E 98 (5) (2018)
  50. Saadatmand D, Borisov D I et al Communications in Nonlinear Science and Numerical Simulation 56 62 (2018)
  51. Yamaletdinov R D, Slipko V A, Pershin Y V Phys. Rev. B 96 (9) (2017)
  52. Popov S P Comput. Math. and Math. Phys. 57 1540 (2017)
  53. Marjaneh A M, Saadatmand D et al Communications in Nonlinear Science and Numerical Simulation 49 30 (2017)
  54. Radomskiy R V, Mrozovskaya E V et al J. Phys.: Conf. Ser. 798 012087 (2017)
  55. Demirkaya A, Decker R et al J. High Energ. Phys. 2017 (12) (2017)
  56. Gani V A, Kirillov A A, Rubin S G J. Phys.: Conf. Ser. 934 012046 (2017)
  57. Kudryavtsev A E, Lizunova M A Phys. Rev. D 95 (5) (2017)
  58. Ekomasov E G, Gumerov A M, Kudryavtsev R V Journal of Computational and Applied Mathematics 312 198 (2017)
  59. Moradi M A, Gani V A et al J. High Energ. Phys. 2017 (7) (2017)
  60. Shokirov F Sh Bulletin of the SUSU. MMP 10 132 (2017)
  61. Gani V A, Lensky V et al J. Phys.: Conf. Ser. 675 012019 (2016)
  62. Gani V A, Lizunova M A, Radomskiy R V J. Phys.: Conf. Ser. 675 012020 (2016)
  63. Simas F C, Gomes A R et al J. High Energ. Phys. 2016 (9) (2016)
  64. Ekomasov E G, Gumerov A M, Kudryavtsev R V Jetp Lett. 101 835 (2015)
  65. Galiev Sh U Darwin, Geodynamics and Extreme Waves Chapter 5 (2015) p. 141
  66. Sedov E S, Charukhchyan M V et al 2015 Days on Diffraction (DD), (2015) p. 1
  67. Saadatmand D, Dmitriev S V et al Jetp Lett. 101 497 (2015)
  68. Saadatmand D, Dmitriev S V et al Communications in Nonlinear Science and Numerical Simulation 29 267 (2015)
  69. Gani V A, Lensky V, Lizunova M A J. High Energ. Phys. 2015 (8) (2015)
  70. (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
  71. 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
  72. Charukhchyan M V, Sedov E S et al Phys. Rev. A 89 (6) (2014)
  73. GRACHEV D D, SEVASTYANOV L A et al SPIN 04 1450005 (2014)
  74. Kevrekidis P G Phys. Rev. A 89 (1) (2014)
  75. Gumerov A M, Ekomasov E G et al Comput. Math. and Math. Phys. 54 491 (2014)
  76. Gani V A, Kudryavtsev A E, Lizunova M A Phys. Rev. D 89 (12) (2014)
  77. Popov S P Comput. Math. and Math. Phys. 54 1876 (2014)
  78. Kryuchkov S V, Kukhar’ E I, Zav’yalov D V Laser Phys. 23 065902 (2013)
  79. Popov S P Comput. Math. and Math. Phys. 53 1891 (2013)
  80. Cuevas Je, Kevrekidis P G et al Phys. Rev. A 88 (3) (2013)
  81. Shnir Ya M Phys. Part. Nuclei Lett. 9 745 (2012)
  82. Ekomasov E G, Murtazin R R, Azamatov Sh A Phys. Solid State 54 1584 (2012)
  83. Halavanau A, Romanczukiewicz T, Shnir Ya Phys. Rev. D 86 (8) (2012)
  84. Demidov S V, Levkov D G J. High Energ. Phys. 2011 (6) (2011)
  85. CUEVAS J, KOUKOULOYANNIS V et al Int. J. Bifurcation Chaos 21 2161 (2011)
  86. Gani V A, Ksenzov V G, Kudryavtsev A E Phys. Atom. Nuclei 74 771 (2011)
  87. Gani V A, Ksenzov V G, Kudryavtsev A E Phys. Atom. Nuclei 73 1889 (2010)
  88. Baimova J A, Bebikhov Yu V et al Russ Phys J 53 231 (2010)
  89. Hertzberg M P Phys. Rev. D 82 (4) (2010)
  90. Romanczukiewicz T, Shnir Ya Phys. Rev. Lett. 105 (8) (2010)
  91. Smirnov L I Phys. Metals Metallogr. 109 107 (2010)
  92. Окстоби О Ф, Oxtoby O F и др ТМФ 159 527 (2009)
  93. Dmitriev S V, Frantzeskakis D J Springer Tracts in Modern Physics Vol. The Discrete Nonlinear Schrödinger EquationSolitary Wave Collisions232 Chapter 17 (2009) p. 311
  94. Barashenkov I V, Oxtoby O F Phys. Rev. E 80 (2) (2009)
  95. Dmitriev S V, Kevrekidis P G, Kivshar Yu S Phys. Rev. E 78 (4) (2008)
  96. Bogdan M M, Charkina O V 34 564 (2008)
  97. Roy I, Dmitriev S V et al Phys. Rev. E 76 (2) (2007)
  98. Loginov A Yu Phys. Atom. Nuclei 70 945 (2007)
  99. Zhu Y, Yang J Phys. Rev. E 75 (3) (2007)
  100. Ludu A, Kevrekidis P G Mathematics and Computers in Simulation 74 229 (2007)
  101. Busch K, von Freymann G et al Physics Reports 444 101 (2007)
  102. Kevrekidis P G, Khare A et al Mathematics and Computers in Simulation 74 405 (2007)
  103. Puzynin I V, Boyadzhiev T L et al Phys. Part. Nuclei 38 70 (2007)
  104. Dmitriev S V, Kevrekidis P G et al Phys. Rev. E 74 (4) (2006)
  105. Dzedolik I V Tech. Phys. 51 932 (2006)
  106. Dmitriev S V, Kevrekidis P G, Yoshikawa N J. Phys. A: Math. Gen. 39 7217 (2006)
  107. Koutvitsky V A, Maslov E M 47 (2) (2006)
  108. 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
  109. Koutvitsky V A, Maslov E M Physics Letters A 336 31 (2005)
  110. Knyazev M A Russ Phys J 48 483 (2005)
  111. Kevrekidis P G, Dmitriev S V et al Phys. Rev. E 70 (6) (2004)
  112. Galiev Sh U, Galiyev T Sh 11 686 (2001)
  113. Gani1 V A, Belova T I, Kudryavtsev A E Phys. Atom. Nuclei 64 140 (2001)
  114. Obrant G Z, Ryskin M G Phys. Rev. C 62 (2) (2000)
  115. 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
  116. Gani V A, Kudryavtsev A E Phys. Rev. E 60 3305 (1999)
  117. Braun O M, Kivshar Yu S Physics Reports 306 1 (1998)

© Успехи физических наук, 1918–2024
Электронная почта: ufn@ufn.ru Телефоны и адреса редакции О журнале Пользовательское соглашение