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/ 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