A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions
Exactly Solvable and Integrable Systems
2009-11-11 v2
Abstract
An explicit reciprocal transformation between a 2-component generalization of the Camassa-Holm equation, called the 2-CH system, and the first negative flow of the AKNS hierarchy is established, this transformation enables one to obtain solutions of the 2-CH system from those of the first negative flow of the AKNS hierarchy. Interesting examples of peakon and multi-kink solutions of the 2-CH system are presented.
Keywords
Cite
@article{arxiv.nlin/0501028,
title = {A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions},
author = {Ming Chen and Si-Qi Liu and Youjin Zhang},
journal= {arXiv preprint arXiv:nlin/0501028},
year = {2009}
}
Comments
15 pages, 16 figures, some typos corrected