A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions
arXiv:nlin/0501028 · doi:10.1007/s11005-005-0041-7
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.
15 pages, 16 figures, some typos corrected