A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions

Details A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions

2005-01-14

arxiv.org/abs/nlin/0501028v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, 16 figures, some typos corrected

Scientific paper

10.1007/s11005-005-0041-7

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.

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