Solitons and their interactions in classical field theory

T.I. Belova, A.E. Kudryavtsev
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.

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/
Web of Science

A1997XB47600002
Citation: Belova T I, Kudryavtsev A E "Solitons and their interactions in classical field theory" Phys. Usp. 40 359–386 (1997)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Белова Т И, Кудрявцев А Е «Солитоны и их взаимодействия в классической теории поля» УФН 167 377–406 (1997); DOI: 10.3367/UFNr.0167.199704b.0377

References (179) Cited by (131) Similar articles (20) ↓

O.M. Braun, V.K. Medvedev “Interaction between particles adsorbed on metal surfaces” Sov. Phys. Usp. 32 328–348 (1989)
V.E. Zakharov, E.A. Kuznetsov “Solitons and collapses: two evolution scenarios of nonlinear wave systems” Phys. Usp. 55 535–556 (2012)
V.G. Bar’yakhtar, B.A. Ivanov, M.V. Chetkin “Dynamics of domain walls in weak ferromagnets” Sov. Phys. Usp. 28 563–588 (1985)
B.S. Kerner, V.V. Osipov “Autosolitons” Sov. Phys. Usp. 32 101–138 (1989)
O.N. Gadomskii “Two electron problem and the nonlocal equations of electrodynamics” Phys. Usp. 43 1071–1102 (2000)
M.V. Nezlin “Rossby solitons (Experimental investigations and laboratory model of natural vortices of the Jovian Great Red Spot type)” Sov. Phys. Usp. 29 807–842 (1986)
S.M. Osovets “Dynamic methods of confinement and stabilization of hot plasma” Sov. Phys. Usp. 17 239–262 (1974)
V.G. Neudachin, Yu.V. Popov, Yu.F. Smirnov “Electron momentum spectroscopy of atoms, molecules, and thin films” Phys. Usp. 42 1017–1044 (1999)
A.G. Sitenko, V.F. Kharchenko “Bound states and scattering in a System of three particles” Sov. Phys. Usp. 14 125–153 (1971)
V.E. Fortov, A.G. Khrapak et al “Dusty plasmas” Phys. Usp. 47 447–492 (2004)
A.A. Zyablovsky, A.P. Vinogradov et al “PT-symmetry in optics” Phys. Usp. 57 1063–1082 (2014)
D.D. Ryutov “Open-ended traps” Sov. Phys. Usp. 31 300–327 (1988)
L.M. Kovrizhnykh, S.V. Shchepetov “Present state of the theory of the MHD equilibrium and stability of stellarator plasmas” Sov. Phys. Usp. 29 343–363 (1986)
B.E. Meierovich “Toward the realization of electromagnetic collapse” Sov. Phys. Usp. 29 506–529 (1986)
P.K. Shukla, B. Eliasson “Nonlinear aspects of quantum plasma physics” Phys. Usp. 53 51–76 (2010)
S.I. Anisimov, A.M. Prokhorov, V.E. Fortov “Application of high-power lasers to study matter at ultrahigh pressures” Sov. Phys. Usp. 27 181–205 (1984)
P.S. Landa, N.A. Miskinova, Yu.V. Ponomarev “lonization waves in low-temperature plasmas” Sov. Phys. Usp. 23 813–834 (1980)
V.V. Arsenin, V.A. Chuyanov “Suppression of plasma instabilities by the feedback method” Sov. Phys. Usp. 20 736–762 (1977)
L.M. Gorbunov “Hydrodynamics of plasma in a strong high-frequency field” Sov. Phys. Usp. 16 217–235 (1973)
A.V. Timofeev “Oscillations of inhomogeneous flows of plasma and liquids” Sov. Phys. Usp. 13 632–646 (1971)

The list is formed automatically.