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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 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

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