Interaction of kinks for semilinear wave equations with a small parameter |
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Authors: | D.A. Kulagin,G.A. Omel&rsquo yanov |
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Affiliation: | 1. Moscow State Institute of Electronics and Mathematics, Moscow, Russia;2. Universidad de Sonora, Hermosillo, Mexico |
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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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Keywords: | 35L70 35L67 35Q53 |
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