Interaction of Solitons for Sine-Gordon-Type Equations

Georgii A. Omel’yanov and Israel Segundo-Caballero

Journal of Mathematics, 2013, vol. 2013, 1-8

Abstract:

The subject of our consideration is a family of semilinear wave equations with a small parameter and nonlinearities which provide the existence of kink-type solutions (solitons). Using asymptotic analysis and numerical simulation, we demonstrate that solitons of the same type (kinks or antikinks) interact in the same manner as for the sine-Gordon equation. However, solitons of the different type preserve the shape after the interaction only in the case of two or three waves, and, moreover, under some additional conditions.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:845926

DOI: 10.1155/2013/845926

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