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

Ming Chen·Si-Qi Liu·Youjin Zhang
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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.

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Ming Chen, Si-Qi Liu, Youjin Zhang. 2005-01-20. A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions. https://doi.org/10.1007/s11005-005-0041-7

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