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1997

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Reviews of topical problems


Solitons and their interactions in classical field theory

,
Russian Federation State Scientific Center A.I. Alikhanov Institute ofTheoretical 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.

Fulltext is available at IOP
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/
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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:   ,    «      » 167 377–406 (1997); DOI: 10.3367/UFNr.0167.199704b.0377

References (179) Cited by (93) Similar articles (20) ↓

  1. O.M. Braun, V.K. Medvedev “Interaction between particles adsorbed on metal surfaces32 328–348 (1989)
  2. V.G. Bar’yakhtar, B.A. Ivanov, M.V. Chetkin “Dynamics of domain walls in weak ferromagnets28 563–588 (1985)
  3. V.E. Zakharov, E.A. Kuznetsov “Solitons and collapses: two evolution scenarios of nonlinear wave systems55 535–556 (2012)
  4. S.M. Osovets “Dynamic methods of confinement and stabilization of hot plasma17 239–262 (1974)
  5. M.V. Nezlin “Rossby solitons (Experimental investigations and laboratory model of natural vortices of the Jovian Great Red Spot type)29 807–842 (1986)
  6. L.M. Kovrizhnykh, S.V. Shchepetov “Present state of the theory of the MHD equilibrium and stability of stellarator plasmas29 343–363 (1986)
  7. S.I. Anisimov, A.M. Prokhorov, V.E. Fortov “Application of high-power lasers to study matter at ultrahigh pressures27 181–205 (1984)
  8. P.S. Landa, N.A. Miskinova, Yu.V. Ponomarev “lonization waves in low-temperature plasmas23 813–834 (1980)
  9. V.G. Neudachin, Yu.V. Popov, Yu.F. Smirnov “Electron momentum spectroscopy of atoms, molecules, and thin films42 1017–1044 (1999)
  10. A.A. Zyablovsky, A.P. Vinogradov et alPT-symmetry in optics57 1063–1082 (2014)
  11. O.N. Gadomskii “Two electron problem and the nonlocal equations of electrodynamics43 1071–1102 (2000)
  12. B.S. Kerner, V.V. Osipov “Autosolitons32 101–138 (1989)
  13. D.D. Ryutov “Open-ended traps31 300–327 (1988)
  14. B.E. Meierovich “Toward the realization of electromagnetic collapse29 506–529 (1986)
  15. P.K. Shukla, B. Eliasson “Nonlinear aspects of quantum plasma physics53 51–76 (2010)
  16. V.V. Arsenin, V.A. Chuyanov “Suppression of plasma instabilities by the feedback method20 736–762 (1977)
  17. V.P. Silin “Anomalous nonlinear dissipation of high-frequency radio waves in plasma15 742–758 (1973)
  18. L.M. Gorbunov “Hydrodynamics of plasma in a strong high-frequency field16 217–235 (1973)
  19. A.V. Timofeev “Oscillations of inhomogeneous flows of plasma and liquids13 632–646 (1971)
  20. M.S. Ioffe, B.B. Kadomtsev “Plasma containment in adiabatic traps13 225–246 (1970)

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