On the soliton dynamics under a slowly varying medium for generalized KdV equations
Analysis of PDEs
2012-03-01 v2 Mathematical Physics
math.MP
Abstract
We consider the problem of the soliton propagation, in a slowly varying medium, for a generalized Korteweg - de Vries equations (gKdV). We study the effects of inhomogeneities on the dynamics of a standard soliton. We prove that slowly varying media induce on the soliton solution large dispersive effects at large time. Moreover, unlike gKdV equations, we prove that there is no pure-soliton solution in this regime.
Keywords
Cite
@article{arxiv.0912.4725,
title = {On the soliton dynamics under a slowly varying medium for generalized KdV equations},
author = {Claudio Muñoz},
journal= {arXiv preprint arXiv:0912.4725},
year = {2012}
}
Comments
Submitted. Corrected some typos, updated references