Stability of solitary waves of a generalized two-component Camassa-Holm system
Analysis of PDEs
2010-10-28 v3 Mathematical Physics
math.MP
Abstract
We study here the existence of solitary wave solutions of a generalized two-component Camassa-Holm system. In addition to those smooth solitary-wave solutions, we show that there are solitary waves with singularities: peaked and cusped solitary waves. We also demonstrate that all smooth solitary waves are orbitally stable in the energy space. We finally give a sufficient condition for global strong solutions to the equation without certain parameters.
Keywords
Cite
@article{arxiv.1009.2449,
title = {Stability of solitary waves of a generalized two-component Camassa-Holm system},
author = {Robin Ming Chen and Yue Liu and Zhijun Qiao},
journal= {arXiv preprint arXiv:1009.2449},
year = {2010}
}
Comments
23 pages, 1 figure