Interaction of solitary waves for the generalized KdV equation

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Abstract

We consider a class of generalized KdV equations with a small parameter and nonlinearities of the type um. We create a finite differences scheme to simulate the solution of the Cauchy problem and present some numerical results for the problem of the solitary waves interaction. In particular, we consider sufficient condition under which pairs of solitary waves interact, in the asymptotic sense, in accordance with the soliton scenario. © 2011 Elsevier B.V.
Original languageAmerican English
Pages (from-to)3204-3218
Number of pages15
JournalCommunications in Nonlinear Science and Numerical Simulation
DOIs
StatePublished - 1 Aug 2012

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