KdV-like solitary waves in two-dimensional FPU-lattices

Abstract

We prove the existence of solitary waves in the KdV limit of two-dimensional FPU-type lattices using asymptotic analysis of nonlinear and singularly perturbed integral equations. In particular, we generalize the existing results by Friesecke and Matthies since we allow for arbitrary propagation directions and non-unidirectional wave profiles.

revised version with several changes in the presentation of the technical details; 25 pages, 15 figures

Cited by in corpus (3)

• Justification of the KP-II approximation in dynamics of two-dimensional FPU systems
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