%0 Journal Article
%T Dynamics of soliton-like solutions for slowly varying, generalized gKdV equations: refraction vs. reflection
%A Claudio Mu£żoz
%J Mathematics
%D 2010
%I arXiv
%R 10.1137/100809763
%X In this work we continue the description of soliton-like solutions of some slowly varying, subcritical gKdV equations. In this opportunity we describe, almost completely, the allowed behaviors: either the soliton is refracted, or it is reflected by the potential, depending on its initial energy. This last result describes a new type of soliton-like solution for gKdV equations, also present in the NLS case. Moreover, we prove that the solution is not pure at infinity, unlike the standard gKdV soliton.
%U http://arxiv.org/abs/1009.4905v1