Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 45, pp. 1-26.

Title: Kink-antikink interaction for semilinear wave equations
       with a small parameter
   
Authors: Martin G. Garcia      (Univ. de Sonora, Mexico)
         Georgii A. Omel'yanov (Univ. de Sonora, Mexico)

Abstract:
 We consider a class of semi-linear wave equations with a small
 parameter and nonlinearities which provide  the equations having
 exact kink-type solutions. As a main result we to obtain
 sufficient conditions for the nonlinearities under which the
 kink-antikink collision occurs without changing the waves shape
 and with only some shifts of the solitary wave trajectories. 
 
Submitted October 28, 2008. Published March 30, 2009.
Math Subject Classifications: 35L70, 35L67, 35Q53.
Key Words: Semilinear wave equation; kink; antikink;
    interaction; distribution; asymptotic; weak asymptotic method.