Interaction of 3 solitons for the GKdV-4 equation

Abstract

We describe an approach to construct multi-soliton asymptotic solutions for non-integrable equations. The general idea is realized in the case of three waves and for the KdV-type equation with nonlinearity $u^4$. A brief review of asymptotic methods as well as results of numerical simulation are included.

32 pages, 4 figures

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