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Solitons and their interactions in classical field theory

,
Russian Federation State Scientific Center ‘A.I. Alikhanov Institute of Theoretical and Experimental Physics’, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation

Effects of nonlinearity in the classical field theory for non-integrable systems are considered, such as soliton scattering, soliton bound states, the fractal nature of resonant structures, kink scattering by inhomogeneities, and bubble collapse. The results are presented in both (1 + 1) and higher dimensions. Both neutral and charged scalar fields are considered. Possible application areas for the nonlinearity effects are discussed.

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Fulltext is also available at DOI: 10.1070/PU1997v040n04ABEH000227
PACS: 03.50.−z, 03.50.Kk, 52.35.Py, 52.35.Sb (all)
DOI: 10.1070/PU1997v040n04ABEH000227
URL: https://ufn.ru/en/articles/1997/4/b/
A1997XB47600002
Citation: Belova T I, Kudryavtsev A E "Solitons and their interactions in classical field theory" Phys. Usp. 40 359–386 (1997)
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Îðèãèíàë: Áåëîâà Ò È, Êóäðÿâöåâ À Å «Ñîëèòîíû è èõ âçàèìîäåéñòâèÿ â êëàññè÷åñêîé òåîðèè ïîëÿ» ÓÔÍ 167 377–406 (1997); DOI: 10.3367/UFNr.0167.199704b.0377

References (179) Cited by (124) ↓ Similar articles (20)

  1. Alonso-Izquierdo A, Miguélez-Caballero D, Nieto L M Physica D: Nonlinear Phenomena 471 134438 (2025)
  2. Alexeeva N V, Barashenkov I V et al J. High Energ. Phys. 2024 (10) (2024)
  3. Zav’yalov D V, Konchenkov V I, Kryuchkov S V Tech. Phys. 69 1075 (2024)
  4. Derendorf P, Volkov A F, Eremin I M Phys. Rev. B 110 (14) (2024)
  5. Saadatmand D, Moradi M A et al Chaos, Solitons & Fractals 180 114550 (2024)
  6. Wang H, Zhong Yu, Wang Z Physics Letters B 858 139071 (2024)
  7. Gani V A, Marjaneh A M EPL 148 24001 (2024)
  8. Karpíšek Ondřej Nicolas, Rafaj Lukáš, Blaschke F 2024 (11) (2024)
  9. Ismael H F, Sulaiman T A Chaos, Solitons & Fractals 169 113213 (2023)
  10. Ismael H F, Sulaiman T A et al Nonlinear Dyn 111 9457 (2023)
  11. Ismael H F, Sulaiman T A et al Results In Physics 45 106220 (2023)
  12. Pereira C  F  S, dos Santos C F E, Tassis T Int. J. Mod. Phys. A 38 (01) (2023)
  13. Zhang G, Christov I C, Rahman A Mechanics Research Communications 134 104215 (2023)
  14. Carretero-González R, Cisneros-Ake L A et al Communications In Nonlinear Science And Numerical Simulation 109 106123 (2022)
  15. Blinov P A, Gani T V et al Chaos, Solitons & Fractals 165 112805 (2022)
  16. Guo H Phys. Rev. D 106 (9) (2022)
  17. Mohammadi M, Momeni E SSRN Journal (2022)
  18. Mohammadi M, Momeni E Chaos, Solitons & Fractals 165 112834 (2022)
  19. Gani V A, Gorina A et al Eur. Phys. J. C 82 (8) (2022)
  20. Khare A, Saxena A Front. Phys. 10 (2022)
  21. Gladkikh A A, Malinetskii G G Math Models Comput Simul 13 301 (2021)
  22. Belendryasova E, Gani V A, Zloshchastiev K G Physics Letters B 823 136776 (2021)
  23. Tsolias G A, Decker R J et al J. Phys. A: Math. Theor. 54 225701 (2021)
  24. Mohammadi M, Dehghani R Communications In Nonlinear Science And Numerical Simulation 94 105575 (2021)
  25. Lizunova M, Kager Ja et al J. Phys. A: Math. Theor. 54 315701 (2021)
  26. Christov I C, Decker R J et al Communications In Nonlinear Science And Numerical Simulation 97 105748 (2021)
  27. Decker R J, Demirkaya A et al Communications In Nonlinear Science And Numerical Simulation 97 105747 (2021)
  28. Moazzemi R, Ettefaghi M M, Mojavezi A Nuclear Physics B 965 115343 (2021)
  29. Zhong Yu, Du X-L et al J. High Energ. Phys. 2020 (2) (2020)
  30. Trukhachev F M, Vasiliev M M, Petrov O F High Temp 58 520 (2020)
  31. Gladkikh A A, Gladkikh A A i dr Matematicheskoe Modelirovanie 32 43 (2020)
  32. Simas F C, Lima F C et al J. High Energ. Phys. 2020 (12) (2020)
  33. Bazeia D, Gomes A R et al Physics Letters B 803 135291 (2020)
  34. Gani V A J. Phys.: Conf. Ser. 1690 012095 (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 375702 (2020)
  37. Gani V A, Moradi M A J. Phys.: Conf. Ser. 1690 012096 (2020)
  38. Belendryasova E, Gani V A et al J. Phys.: Conf. Ser. 1205 012007 (2019)
  39. Gani V A, Moradi M A, Saadatmand D Eur. Phys. J. C 79 (7) (2019)
  40. 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
  41. Bazeia D, Gomes A R et al Int. J. Mod. Phys. A 34 1950200 (2019)
  42. 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
  43. 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
  44. Christov I C, Decker R J et al Phys. Rev. D 99 (1) (2019)
  45. Belendryasova E, Gani V A Communications In Nonlinear Science And Numerical Simulation 67 414 (2019)
  46. 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
  47. 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
  48. Popov S P Comput. Math. And Math. Phys. 59 150 (2019)
  49. Slipko V A, Pershin Yu V Handbook of Memristor Networks Chapter 33 (2019) p. 955
  50. Saadatmand D, Borisov D I et al Communications In Nonlinear Science And Numerical Simulation 56 62 (2018)
  51. Marjaneh A M, Askari A et al Eur. Phys. J. B 91 (1) (2018)
  52. Gani V A, Marjaneh A M et al Eur. Phys. J. C 78 (4) (2018)
  53. Gani V A, Kirillov A A, Rubin S G J. Cosmol. Astropart. Phys. 2018 042 (2018)
  54. Kevrekidis P G, Danaila I et al Phys. Rev. E 98 (5) (2018)
  55. Popov S P Comput. Math. And Math. Phys. 58 437 (2018)
  56. Ekomasov E G, Gumerov A M et al Braz J Phys 48 576 (2018)
  57. Bazeia D, Belendryasova E, Gani V A Eur. Phys. J. C 78 (4) (2018)
  58. Demirkaya A, Decker R et al J. High Energ. Phys. 2017 (12) (2017)
  59. Yamaletdinov R D, Slipko V A, Pershin Y V Phys. Rev. B 96 (9) (2017)
  60. Radomskiy R V, Mrozovskaya E V et al J. Phys.: Conf. Ser. 798 012087 (2017)
  61. Kudryavtsev A E, Lizunova M A Phys. Rev. D 95 (5) (2017)
  62. Moradi M A, Gani V A et al J. High Energ. Phys. 2017 (7) (2017)
  63. Ekomasov E G, Gumerov A M, Kudryavtsev R V Journal Of Computational And Applied Mathematics 312 198 (2017)
  64. Marjaneh A M, Saadatmand D et al Communications In Nonlinear Science And Numerical Simulation 49 30 (2017)
  65. Gani V A, Kirillov A A, Rubin S G J. Phys.: Conf. Ser. 934 012046 (2017)
  66. Popov S P Comput. Math. And Math. Phys. 57 1540 (2017)
  67. Shokirov F Sh Bulletin Of The SUSU. MMP 10 132 (2017)
  68. Simas F C, Gomes A R et al J. High Energ. Phys. 2016 (9) (2016)
  69. Gani V A, Lensky V et al J. Phys.: Conf. Ser. 675 012019 (2016)
  70. Gani V A, Lizunova M A, Radomskiy R V J. Phys.: Conf. Ser. 675 012020 (2016)
  71. Saadatmand D, Dmitriev S V et al Jetp Lett. 101 497 (2015)
  72. (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
  73. Galiev Sh U Darwin, Geodynamics and Extreme Waves Chapter 5 (2015) p. 141
  74. Gani V A, Lensky V, Lizunova M A J. High Energ. Phys. 2015 (8) (2015)
  75. Ekomasov E G, Gumerov A M, Kudryavtsev R V Jetp Lett. 101 835 (2015)
  76. Saadatmand D, Dmitriev S V et al Communications In Nonlinear Science And Numerical Simulation 29 267 (2015)
  77. Sedov E S, Charukhchyan M V et al 2015 Days on Diffraction (DD), (2015) p. 1
  78. Charukhchyan M V, Sedov E S et al Phys. Rev. A 89 (6) (2014)
  79. Gumerov A M, Ekomasov E G et al Comput. Math. And Math. Phys. 54 491 (2014)
  80. 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
  81. Popov S P Comput. Math. And Math. Phys. 54 1876 (2014)
  82. GRACHEV D D, SEVASTYANOV L A et al SPIN 04 1450005 (2014)
  83. Gani V A, Kudryavtsev A E, Lizunova M A Phys. Rev. D 89 (12) (2014)
  84. Kevrekidis P G Phys. Rev. A 89 (1) (2014)
  85. Kryuchkov S V, Kukhar’ E I, Zav’yalov D V Laser Phys. 23 065902 (2013)
  86. Popov S P Comput. Math. And Math. Phys. 53 1891 (2013)
  87. Cuevas Je, Kevrekidis P G et al Phys. Rev. A 88 (3) (2013)
  88. Halavanau A, Romanczukiewicz T, Shnir Ya Phys. Rev. D 86 (8) (2012)
  89. Shnir Ya M Phys. Part. Nuclei Lett. 9 745 (2012)
  90. Ekomasov E G, Murtazin R R, Azamatov Sh A Phys. Solid State 54 1584 (2012)
  91. Gani V A, Ksenzov V G, Kudryavtsev A E Phys. Atom. Nuclei 74 771 (2011)
  92. Demidov S V, Levkov D G J. High Energ. Phys. 2011 (6) (2011)
  93. CUEVAS J, KOUKOULOYANNIS V et al Int. J. Bifurcation Chaos 21 2161 (2011)
  94. Gani V A, Ksenzov V G, Kudryavtsev A E Phys. Atom. Nuclei 73 1889 (2010)
  95. Smirnov L I Phys. Metals Metallogr. 109 107 (2010)
  96. Hertzberg M P Phys. Rev. D 82 (4) (2010)
  97. Baimova J A, Bebikhov Yu V et al Russ Phys J 53 231 (2010)
  98. Romanczukiewicz T, Shnir Ya Phys. Rev. Lett. 105 (8) (2010)
  99. Okstobi O F, Oxtoby O F i dr Teor. Mat. Fiz. 159 527 (2009)
  100. Barashenkov I V, Oxtoby O F Phys. Rev. E 80 (2) (2009)
  101. Dmitriev S V, Frantzeskakis D J Springer Tracts In Modern Physics Vol. The Discrete Nonlinear Schrödinger EquationSolitary Wave Collisions232 Chapter 17 (2009) p. 311
  102. Bogdan M M, Charkina O V 34 564 (2008)
  103. Dmitriev S V, Kevrekidis P G, Kivshar Yu S Phys. Rev. E 78 (4) (2008)
  104. Busch K, von Freymann G et al Physics Reports 444 101 (2007)
  105. Puzynin I V, Boyadzhiev T L et al Phys. Part. Nuclei 38 70 (2007)
  106. Kevrekidis P G, Khare A et al Mathematics And Computers In Simulation 74 405 (2007)
  107. Roy I, Dmitriev S V et al Phys. Rev. E 76 (2) (2007)
  108. Ludu A, Kevrekidis P G Mathematics And Computers In Simulation 74 229 (2007)
  109. Loginov A Yu Phys. Atom. Nuclei 70 945 (2007)
  110. Zhu Y, Yang J Phys. Rev. E 75 (3) (2007)
  111. Dzedolik I V Tech. Phys. 51 932 (2006)
  112. Dmitriev S V, Kevrekidis P G et al Phys. Rev. E 74 (4) (2006)
  113. Koutvitsky V A, Maslov E M 47 (2) (2006)
  114. Dmitriev S V, Kevrekidis P G, Yoshikawa N J. Phys. A: Math. Gen. 39 7217 (2006)
  115. Knyazev M A Russ Phys J 48 483 (2005)
  116. 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
  117. Koutvitsky V A, Maslov E M Physics Letters A 336 31 (2005)
  118. Kevrekidis P G, Dmitriev S V et al Phys. Rev. E 70 (6) (2004)
  119. Galiev Sh U, Galiyev T Sh 11 686 (2001)
  120. Gani1 V A, Belova T I, Kudryavtsev A E Phys. Atom. Nuclei 64 140 (2001)
  121. Obrant G Z, Ryskin M G Phys. Rev. C 62 (2) (2000)
  122. 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
  123. Gani V A, Kudryavtsev A E Phys. Rev. E 60 3305 (1999)
  124. Braun O M, Kivshar Yu S Physics Reports 306 1 (1998)
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