Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844945 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 32 Pages |
Abstract
We consider a class of semilinear wave equations with a small parameter and nonlinearities such that the equations have exact kink-type solutions. The main result consists in obtaining sufficient conditions for the nonlinearities under which the interaction of kinks preserves the sine-Gordon scenario. This means that the interaction occurs without changing the waves shape and with shifts of trajectories.
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Authors
D.A. Kulagin, G.A. Omel’yanov,