KdV-like solitary waves in two-dimensional FPU-lattices
Dynamical Systems
2020-03-13 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1703.10358,
title = {KdV-like solitary waves in two-dimensional FPU-lattices},
author = {Fanzhi Chen and Michael Herrmann},
journal= {arXiv preprint arXiv:1703.10358},
year = {2020}
}
Comments
revised version with several changes in the presentation of the technical details; 25 pages, 15 figures