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Inelastic interactions of solitons in nearly integrable systems. I

โœ Scribed by Boris A. Malomed

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

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โœฆ Synopsis

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 two solitons. The relative velocity of the "splinters" and the change of the Cast soliton parameters are calculated. The same inelastic process is considered under the action of the conservative perturbation of a special Corm. The inelastic collision of two breathers is investigated too.

๐Ÿ“œ SIMILAR VOLUMES

Inelastic interactions of solitons in ne
Inelastic interactions of solitons in nearly integrable systems. II
โœ Boris A. Malomed ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 758 KB

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 conse