Stability of Solitary Waves for a Generalized Derivative Nonlinear Schr\"odinger Equation
Pattern Formation and Solitons
2012-06-18 v1 Analysis of PDEs
Abstract
We consider a derivative nonlinear Schr\"odinger equation with a general nonlinearity. This equation has a two parameter family of solitary wave solutions. We prove orbital stability/instability results that depend on the strength of the nonlinearity and, in some instances, their velocity. We illustrate these results with numerical simulations.
Keywords
Cite
@article{arxiv.1206.3502,
title = {Stability of Solitary Waves for a Generalized Derivative Nonlinear Schr\"odinger Equation},
author = {Xiao Liu and Gideon Simpson and Catherine Sulem},
journal= {arXiv preprint arXiv:1206.3502},
year = {2012}
}
Comments
29 pages, 4 Figures