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.
|Number of pages
|Electronic Journal of Differential Equations
|Published - 2 Jan 2009