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Inelastic interactions of solitons in nearly integrable systems. II

โœ Scribed by Boris A. Malomed

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
758 KB
Volume
15
Category
Article
ISSN
0167-2789

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โœฆ Synopsis

Inelastic interactions of kinks and breathers in the sine-Gordon equation with different perturbations arc 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.

๐Ÿ“œ SIMILAR VOLUMES

Inelastic interactions of solitons in ne
Inelastic interactions of solitons in nearly integrable systems. I
โœ Boris A. Malomed ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 598 KB

In the nonlinear Schrodinger equation with the dissipative perturbation the collision of a Cast soliton with a breather. i.e. a bound state of two solutions which is stable in the presence of the perturbation, is considered. It is demonstrated that the collision results in breaking the breather into