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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 theory” Phys. Usp. 40 359–386 (1997); DOI: 10.1070/PU1997v040n04ABEH000227

Список литературы (179) ↓ Статьи, ссылающиеся на эту (122) Похожие статьи (20)

  1. Higgs P W Phys. Rev. 145 1156 (1966)
  2. Weinberg S Phys. Rev. Lett. 19 1264 (1967); Weinberg S Phys. Rev. Lett. 31 494 (1973)
  3. Salam A ""Elementary particle theory"" Proc. of the 8th Nobel Symposium (Stockholm, 1968)
  4. Okun' L B Leptony i Kvarki (Leptons and Quarks) (Moscow: Nauka, 1990); Translated into English, Okun' L B Leptony i Kvarki (Amsterdam, New York: North Holland, Elsevier, 1984)
  5. Manton N S Commun. Math. Phys. 111 469 (1987)
  6. Rajaraman R Phys. Rep. Phys. Lett. C 21 227 (1975)
  7. Makhan'kov V G, Rybakov Yu P, Sanyuk V I Usp. Fiz. Nauk 164 121 (1994); Makhan'kov V G, Rybakov Yu P, Sanyuk V I Phys. Usp. 37 113 (1994)
  8. Kudryavtsev A, Piette B, Zakrzewski W J Z Phys. C 60 731 (1993)
  9. Longren K, Scott E (Eds) Solitony v De&ibreve;stvii (Solitons in Action) (Moscow: Mir, 1981)
  10. Zakharov V E et al Teoriya Solitonov: Metod Obratno&ibreve; Zadachi Rasseyaniya (Theory of Solitons: the Inverse Scattering Method) (Moscow: Nauka, 1980); Translated into English, Zakharov V E et al Teoriya Solitonov: Metod Obratno&ibreve; Zadachi Rasseyaniya (New York: Consaltants Burean, 1984)
  11. Ablowits M, Sigur H Solitony i Metod Obratno&ibreve; Zadachi (Solitons and Method of Inverse Scattering Problem) (Moscow: Mir, 1987)
  12. Zakharov V E, Takhtadzhyan L A, Faddeev L D Dokl. Akad. Nauk SSSR 219 1334 (1974); Zakharov V E, Takhtadzhyan L A, Faddeev L D Sov. Phys. Dokl. 19 824 (1975)
  13. Vergeles S N, Gryanik V M Yad. Fiz. 23 ((6)) 1324 (1976)
  14. Dodd R et al Solitony i Neline&ibreve;nye Volnovye Uravneniya (Solitons and Nonlinear Wave Equations) (Moscow: Mir, 1988)
  15. Makhankov V G Phys. Rep. 35 1 (1978)
  16. Rajaraman R Solitony i Instantony v Kvantovo&ibreve; Teorii Polya (Solitons and Instantons in Quantum Field Theory) (Moscow: Mir, 1985)
  17. Hobart R H Proc. Phys. Soc. 82 201 (1963)
  18. Derrick GH J. Math. Phys. 5 1252 (1964)
  19. Zastavenko L G Fiz. Metody Metalloved. 29 430 (1965)
  20. Morawetz C S Proc. R. Soc. London Ser. A 306 291 (1968)
  21. Polyakov A M Pis'ma Zh. Eksp. Teor. Fiz. 20 430 (1974); Polyakov A M JETP Lett. 20 194 (1974)
  22. Skyrme T H R Proc. R. Soc. London Ser. A 260 127 (1961)
  23. Piette B M A G, Shroers B J, Zakrzewski W J Nucl. Phys. B 439 205 (1995)
  24. Smilga A V Nucl. Phys. B 459 263 (1996)
  25. Zel'dovich Ya B, Kobzarev I Yu, Okun' L B Zh. Eksp. Teor. Fiz. 67 3 (1974); Zel'dovich Ya B, Kobzarev I Yu, Okun' L B Sov. Phys. JETP 40 1 (1975)
  26. Voloshin M B, Kobzarev I Yu, Okun' L B Yad. Fiz. 20 1229 (1974)
  27. Kobzarev I Yu ""Spontanno Narushennaya Simmetriya i Kosmologiya" (Spontaneously Violated Symmetry and Cosmology)" Élementarnye Chastitsy. Vtoraya Shkola Fiziki ITEF (Elementary Particles. Second School of Physics at Institute for Theoretical and Experimental Physics) No. 3 (Moscow: Atomizdat, 1975); Coleman S Phys. Rev. D 15 2929 (1977); Callan C G, Coleman S Phys. Rev. D 16 1762 (1977)
  28. Anderson D L T, Derrick G H J. Math. Phys. 11 1336 (1970)
  29. Lee T D, Pang Y Phys. Rep. 221 251 (1992)
  30. Makhan'kov V G Fiz. Elem. Chastits At. Yadra 14 123 (1983); Makhan'kov V G Sov. J. Part. Nucl. 14 50 (1983)
  31. Ginzburg V L, Landau L D Zh. Eksp. Teor. Fiz. 20 1064 (1950)
  32. Aubry S J. Chem. Phys. 64 3392 (1976)
  33. Krumhansl J A, Schrieffer J R Phys. Rev. B 11 3535 (1975)
  34. Rasizade O Sh Teor. Mat. Fiz. 48 197 (1981); Rasizade O Sh Theor. Math. Phys. 48 696 (1981)
  35. Cahill K Phys. Lett. B 53 174 (1974)
  36. Shapiro I S Pis'ma Zh. Eksp. Teor. Fiz. 21 624 (1975); Shapiro I S JETP Lett. 21 293 (1975)
  37. Dashen R F, Hasslacher B, Neveu A Phys. Rev. D 10 4130 (1974)
  38. Goldstone J, Jackiw R Phys. Rev. D 11 1486 (1975)
  39. Shapiro I S Zh. Eksp. Teor. Fiz. 70 2050 (1976); Shapiro I S Sov. Phys. JETP 43 1069 (1976)
  40. Perring J K, Skyrme T H R Nucl. Phys. 31 550 (1962)
  41. Takhtadzhyan L A, Faddeev L D Teor. Mat. Fiz. 21 160 (1974)
  42. Gaudrey P J, Eilbeck J C, Gibbon J D Nuovo Cimento B 25 497 (1975)
  43. Dashen R F, Hasslacher B, Neveu A Phys. Rev. D 11 3424 (1975)
  44. Ablowitz M J, Kaup D J, Newell A C, Segur H Phys. Rev. Lett. 30 1262 (1973)
  45. Kosevich A M, Kovalev A S Zh. Eksp. Teor. Fiz. 67 1793 (1974); Kosevich A M, Kovalev A S Sov. Phys. JETP 40 891 (1975)
  46. Bogolyubov N N, Mitropol'ski&ibreve; Yu A Asimptoticheskie Metody v Teorii Neline&ibreve;nykh Kolebani&ibreve; (Asymptotic Methods in Theory of Nonlinear Oscillations) (Moscow: Fizmatgiz, 1963); Translated into English, Bogolyubov N N, Mitropol'ski&ibreve; Yu A Asimptoticheskie Metody v Teorii Neline&ibreve;nykh Kolebani&ibreve; (New York: G & Br Science Publ., 1961)
  47. Voronov N A, Kobzarev I Yu Pis'ma Zh. Eksp. Teor. Fiz. 24 576 (1976); Voronov N A, Kobzarev I Yu JETP Lett. 24 576 (1976)
  48. Bogolyubski&ibreve; I L Pis'ma Zh. Eksp. Teor. Fiz. 24 579 (1976); Bogolyubski&ibreve; I L JETP Lett. 24 535 (1976)
  49. Glasko V B et al Zh. Eksp. Teor. Fiz. 35 452 (1958); Glasko V B et al Sov. Phys. JETP 35 312) (1959)
  50. Ryder G Pacific J. Math. 22 477 (1967)
  51. Zhidkov E P, Shirikov V P Zh. Vych. Mat. Mat. Fiz. 4 804 (1964)
  52. Buslaev V S Teor. Mat. Fiz. 31 23 (1977); Buslaev V S Teor. Math. Phys. 31 293 (1977)
  53. Eleonski&ibreve; V M et al Teor. Mat. Fiz. 60 395 (1984)
  54. Belova T I et al Zh. Eksp. Teor. Fiz. 73 1611 (1977); Belova T I et al Sov. Phys. JETP 46 846 (1977)
  55. Segur H, Kruskal M D Phys. Rev. Lett. 58 747 (1987)
  56. Arefeva I Ya, Korepin V E Pis'ma Zh. Eksp. Teor. Fiz. 20 680 (1974); Arefeva I Ya, Korepin V E JETP Lett. 20 312 (1974)
  57. KorepinVE, Kilish PP, Faddeev LD Pis'ma Zh. Eksp. Teor. Fiz. 21 302 (1975); KorepinVE, Kilish PP, Faddeev LD JETP Lett. 21 138 (1975)
  58. Faddeev L D Pis'ma Zh. Eksp. Teor. Fiz. 21 141 (1975); Faddeev L D JETP Lett. 21 64 (1975)
  59. Dashen R F, Hasslacher B, Neveu A Phys. Rev. D 10 4114 (1974)
  60. Zamolodchnikov A B Pis'ma Zh. Eksp. Teor. Fiz. 25 499 (1977); Zamolodchnikov A B JETP Lett. 25 468 (1977)
  61. Konoplich R V Yad. Fiz. 32 1132 (1980)
  62. Kudryavtsev A E Pis'ma Zh. Eksp. Teor. Fiz. 22 178 (1975); Kudryavtsev A E JETP Lett. 22 82 (1975)
  63. Neveu A, Papanicolaou N Commun. Math. Phys. 58 31 (1978)
  64. Belova T I et al Preprint ITEF-170 (Moscow, 1976)
  65. Getmanov B S Pis'ma Zh. Eksp. Teor. Fiz. 24 323 (1976); Getmanov B S JETP Lett. 24 291 (1976)
  66. Geicke J Phys. Lett. B 133 337 (1983)
  67. Belova T I Zh. Eksp. Teor. Fiz. 109 1090 (1996); Preprint ITEF-65 (Moscow, 1992); Belova T I JETP 82 587 (1996)
  68. Segur H J Math. Phys. 24 1439 (1983)
  69. Konoplich R V Yad. Fiz. 24 1493 (1990)
  70. Gervais J-L, Sakita B Phys. Rev. D 11 2943 (1975)
  71. Gervais J-L, Jevicki A, Sakita B Phys. Rev. D 12 1038 (1975)
  72. Christ N H, Lee T D Phys. Rev. D 12 1606 (1975)
  73. Hosoya A, Kikkawa K Nucl. Phys. B 101 271 (1975)
  74. Vinciarelli P Phys. Lett B 61 80 (1976)
  75. Korepin V E Pis'ma Zh. Eksp. Teor. Fiz. 23 224 (1976); Korepin V E JETP Lett. 23 201 (1976)
  76. Rajaraman R Phys. Rev. D 15 2866 (1977)
  77. Moshir M Nucl. Phys. B 185 318 (1981)
  78. Sugiyama T Prog. Theor. Phys. 61 1550 (1979)
  79. Manakov S V Pis 'ma Zh. Eksp. Teor. Fiz. 25 589 (1977); Manakov S V JETP Lett. 25 553 (1977)
  80. Getmanov B S Phys. Lett. B 66 39 (1977)
  81. Ablowitz M J, Kruskal M D, Ladik J F SIAM J. Appl. Math. 36 428 (1979)
  82. Wingate C A Ph. D. Thesis (Univ. of Illinois, 1978); Wingate C A SIAM J. Appl. Math. 43 120 (1983)
  83. Klein R et al Ferroelectrics 26 721 (1980)
  84. Campbell D K, Schonfeld J F, Wingate C A Physica D 9 1 (1983)
  85. Campbell D, Peyrard M Physica D 18 47 (1986)
  86. Belova T I, Kudryavtsev A E Preprint ITEP-94 (Moscow, 1985); Belova T I, Kudryavtsev A E Physica D 32 18 (1988)
  87. Anninos P, Oliveira S, Matzner R A Phys. Rev. D 44 1147 (1991)
  88. Wolf A et al Physica D 16 285 (1985)
  89. Benettin G et al Mechanica 15 9 (1980)
  90. Shimada I, Nagashima T Prog. Theor. Phys. 61 1605 (1979)
  91. Belova T I Yad. Fiz. 58 130 (1995); Belova T I Phys. At. Nucl. 58 124 (1995)
  92. Jedyadev S, Schrieffer J R Syn. Metals 9 451 (1984)
  93. Remoissenet M, Peyrard M Solid State Commun. 31 229 (1979)
  94. Remoissenet M, Peyrard M J Phys. C: Solid State Phys. 14 L481 (1981)
  95. Peyrard M, Remoissenet M Phys. Rev. B 26 2886 (1982)
  96. Peyrard M, Campbell D K Physica D 9 33 (1983)
  97. Campbell D, Peyrard M, Sodano P Physica D 19 165 (1986)
  98. Maki K, Kumar P Phys. Rev. B 14 118 3920 (1976)
  99. Maki K Physica B 90 84 (1977)
  100. Kitchenside P W, Bullough R K, Caudrey P J Solitons in Condensed Matter Physics (Eds A R Bishop, T Schneider) (Berlin: Springer, 1978) p. 291)
  101. Bullough R K, Caudrey P J, Gibbs H M Solitons (Eds R K Bullough, P J Caudrey) (Berlin: Springer, 1980) p. 107
  102. Shiefman J, Kumar P Physica Scripta 20 435 (1979)
  103. Kumar P, Holland R R Nonlinear Problems: Present and Future (Eds A R Bishop, D K Campbell, B Nikolaemko) (Amsterdam: North-Holland, 1982) p. 229
  104. Condat C A, Guyer R A, Miller M D Phys. Rev. B 27 474 (1983)
  105. Fogel M B et al Phys. Rev. B 15 1578 (1977)
  106. Nakajima K, Yamashita T, Onodera Y J. Appl. Phys. 45 3141 (1974)
  107. Nakajima K et al J. Appl. Phys. 45 4095 (1974)
  108. Nakajima K, Sawada Y, Onodera Y J. Appl. Phys. 46 5272 (1975)
  109. Karpman V I, Maslov E M Zh. Eksp. Teor. Fiz. 73 537 (1977); Karpman V I, Maslov E M Sov. Phys. JETP 46 281 (1977)
  110. Bergman D J et al Phys. Rev. A 27 3345 (1983)
  111. Olsen O H, Samuelsen M R Phys. Rev. B 28 210 (1983)
  112. Malomed B A Physics D 15 385 (1985)
  113. Jackiw R, Rossi P Phys. Rev. D 21 426 (1980)
  114. Rasizade O Sh Teor. Mat. Fiz. 49 36 (1981)
  115. Gal'pern Yu S, Filippov A T Pis'ma Zh. Eksp. Teor. Fiz. 35 470 (1982); Gal'pern Yu S, Filippov A T JETP Lett. 35 580 (1982)
  116. Filippov A T, Galpern Yu S Solid State Commun. 48 665 (1983)
  117. Galpern Yu S, Filippov AT Zh. Eksp. Teor. Fiz. 86 1527 (1984); Galpern Yu S, Filippov AT Sov. Phys. JETP 59 894 (1984)
  118. Currie J F et al Phys. Rev. B 15 5567 (1977)
  119. Kazacha G S, Serdyukova S I, Filippov A T Preprint OIYaI R-11–84–76 (Dubna, 1984)
  120. Kazacha G S, Serdyukova S I, Filippov A T Preprint OIYaI R-11–85–60 (Dubna, 1985)
  121. Filippov A T, Galpern Yu S Phys. Lett. A 172 471 (1993)
  122. Belova T I, Kudryavtsev A E Preprint ITEP-170 (Moscow, 1986)
  123. Belova T I, Kudryavtsev A E Zh. Eksp. Teor. Fiz. 108 1489 (1995); Belova T I, Kudryavtsev A E JETP 81 817 (1995); Kudryavtsev A E Preprint INS-Rep. 912, Jan. (Tokyo, 1992)
  124. Toda M J. Phys. Soc. Japan 23 501 (1967)
  125. Toda M Prog. Theor. Phys. Suppl. 59 1 (1976)
  126. Nakamura A, Takeno S Prog. Theor. Phys. 58 1074 (1977)
  127. Fraggis T, Pnevmatikos St, Economou E N Phys. Lett. A 142 361 (1989)
  128. KosevichAM, Kovalev A S Fiz. Nizk. Temp. 1 1544 (1975)
  129. Braun O M, Kivshar Yu Phys. Rev. B 43 1060 (1991)
  130. Fei Z et al Phys. Lett. A 159 318 (1991)
  131. Kivshar Yu, Vazquéz L Phys. Rev. Lett. 67 1177 (1991)
  132. Fei Z, Kivshar Yu, Vazquéz L Phys. Rev A 45 6019 (1992)
  133. Fei Z, Kivshar Yu, Vazquéz L Phys. Rev. A 46 5214 (1992)
  134. Grib A A, Damaskinski&ibreve; E V, Maksimov V M Usp. Fiz. Nauk 102 587 (1970); Grib A A, Damaskinski&ibreve; E V, Maksimov V M Sov. Phys. Usp. 13 798 (1971)
  135. Voronov N A, Kobzarev I Yu, Konyukhova N B Pis'ma Zh. Eksp. Teor. Fiz. 22 590 (1975); Voronov N A, Kobzarev I Yu, Konyukhova N B JETP Lett. 22 290 (1975)
  136. Bogolyubski&ibreve; I L, Makhan'kov V G Pis'ma Zh. Eksp. Teor. Fiz. 24 15 (1976); Bogolyubski&ibreve; I L, Makhan'kov V G JETP Lett. 24 12 (1976)
  137. Christiansen P L, Olsen O H Physica Scripta 20 531 (1979)
  138. Belova T I Yad. Fiz. 56 ((2)) 234 (1993)
  139. Bogolyubski&ibreve; I L, Makhan'kov V G Pis 'ma Zh. Eksp. Teor. Fiz. 25 120 (1977); Bogolyubski&ibreve; I L, Makhan'kov V G JETP Lett. 25 107 (1977)
  140. Bogolubsky I L Phys. Lett. A 61 205 (1977)
  141. Christiansen P L, Olsen O H Phys. Lett. A 68 185 (1978)
  142. Samuelsen M R Phys. Lett. A 74 21 (1979)
  143. Christiansen P L, Lomdahl P S Physica D 2 482 (1981)
  144. Geicke J Phys. Lett. A 98 147 (1983)
  145. Geicke J Physica Scripta 29 431 (1984)
  146. Voronov NA Preprint ITEP-127 (Moscow, 1978)
  147. Voronov NA, Konyukhova NB Preprint ITEP-26 (Moscow, 1978)
  148. Kivshar Yu, Malomed B A Phys. Rev. Lett. 60 164 (1988)
  149. Malomed B A Physica D 24 155 (1987)
  150. Malomed B A, Maslov E M Phys. Lett A 160 233 (1991)
  151. Belova T I et al Zh. Vych. Mat. Mat. Fiz. 21 89 (1981)
  152. Anderson D L T J. Math. Phys. 12 945 (1971)
  153. Friedberg R, Lee T D, Sirlin A Phys. Rev. D 13 2739 (1976)
  154. Friedberg R, Lee T D, Sirlin A Nucl. Phys. B 115 1 (1976)
  155. Friedberg R, Lee T D, Sirlin A Nucl. Phys. B 115 32 (1976)
  156. Coleman S Nucl. Phys. B 262 263 (1985)
  157. Wilets N Non-topological Solitons, Lecture Notes in Physics 24 (Singapore: World Scientific, 1989)
  158. Birse M "Soliton Models for Nuclear Physics" Preprint (Manchester Univ. (Manchester, 1980)
  159. Tomboulis E Phys. Rev. D 12 1678 (1975)
  160. Belova T I et al Yad. Fiz. 57 2105 (1994); Belova T I et al Phys. At. Nucl. 57 2028 (1994); Preprint ITEF-166 (Moscow, 1982)
  161. ZakharovVE, Shabad A B Zh. Eksp. Teor. Fiz. 61 118 (1971); ZakharovVE, Shabad A B [Sov. Phys. JETP] (1971)
  162. Belova T I, Kudryavtsev A E Zh. Eksp. Teor. Fiz. 95 13 (1989); Belova T I, Kudryavtsev A E Sov. Phys. JETP 68 7 (1989)
  163. Simonov Yu A Yad. Fiz. 30 1148 (1979)
  164. Simonov Yu A Yad. Fiz. 30 1457 (1979)
  165. Leese R A Nucl. Phys. B 366 283 (1991)
  166. Getmanov B S Preprint OIYaI P2–10208 (Dubna, 1976)
  167. Belova T I, Voronov N A Pis'ma Zh. Eksp. Teor. Fiz. 61 337 (1995); Belova T I, Voronov N A JETP Lett. 61 341 (1995)
  168. Hawking S W, Moss I G, Stewart J M Phys. Rev. D 26 2681 (1982)
  169. Widrow L M Phys. Rev. D 40 1002 (1989)
  170. Kolb E W, Turner M S The Early Universe (Redwood City, Ca: Addison-Wiley, 1990)
  171. Linde A Phys. Rev. D 49 748 (1994)
  172. Vilenkin A Phys. Rep. 121 263 (1985)
  173. Colpi M, Shapiro S L, Wasserman I Phys. Rev. Lett. 57 2485 (1986)
  174. Jetzer P Phys. Rep. 220 163 (1992)
  175. Pushkarov D I Defektony v Kristallakh. Metod Kvazichastits v Kvantovo&ibreve; Teorii Defektov (Defectons in Crystals. Method of Quasi-particles in Quantum Theory of Defects) (Moscow: Nauka, 1993)
  176. Monastyrski&ibreve; M I Topologiya Kalibrovochnykh Pole&ibreve; i Kondensirovannykh Sred (Topology of Calibration Fields and Condensed Media) (Moscow: PAIMS, 1995), [in English; Monastyrski&ibreve; M I Topologiya Kalibrovochnykh Pole&ibreve; i Kondensirovannykh Sred (New York: Plenum Press, 1993)
  177. Zosimov V V, Lyamshev L N Usp. Fiz. Nauk 165 361 (1995); Zosimov V V, Lyamshev L N Phys. Usp. 38 347 (1995)
  178. Loshak P Usp. Mat. Nauk 47 59 (1992)
  179. Kadomtsev B B Usp. Fiz. Nauk 164 449 (1994); Kadomtsev B B Phys. Usp. 37 425 (1994)
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