Inelastic interactions of solitons in nearly integrable systems. II

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Abstract

Inelastic interactions of kinks and breathers in the sine-Gordon equation with different perturbations are considered. In the presence of the dissipative perturbation the break-up of a breather into a kink-antikink pair due to the collision with a fast kink is investigated. Under the action of conservative perturbations the following processes are considered: the fusion of a kink-antikink pair into a breather due to the emission of radiation; the break-up of a breather due to the interaction with a nonsoliton wavetrain or a small amplitude fast breather; the radiative capture of a kink by a localized inhomogeneity. In all the cases the threshold characteristics of the inelastic processes are calculated.

Original languageEnglish
Pages (from-to)385-401
Number of pages17
JournalPhysica D: Nonlinear Phenomena
Volume15
Issue number3
DOIs
StatePublished - 1985
Externally publishedYes

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