Asymptotic and numerical description of the kink/antikink interaction

We consider a class of semi-linear wave equations with a small parameter and nonlinearities which provide the equations having exact kink-type solutions. We declare sufficient conditions for the nonlinearities under which the kink-kink and kink-antikink collisions occur, in the asymptotic sense,...

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Bibliographic Details
Main Authors: Georgii A. Omel'yanov, Israel Segundo-Caballero
Format: Article
Language:English
Published: Texas State University 2010-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/150/abstr.html