Description of two soliton collision for the quartic gKdV equation
Analysis of PDEs
2007-09-18 v1
Abstract
This paper concerns the problem of collision of two solitons for the quartic generalized Korteweg-de Vries equation. We introduce a new framework to describe the collision in the special case where one soliton is small with respect to the other. We prove that the two soliton survive the collision, we describe the collision phenomenon (computation of the first order of the resulting shifts on the solitons). Moreover, we prove that in this situation, there does not exist pure two-soliton solutions.
Cite
@article{arxiv.0709.2672,
title = {Description of two soliton collision for the quartic gKdV equation},
author = {Yvan Martel and Frank Merle},
journal= {arXiv preprint arXiv:0709.2672},
year = {2007}
}