, Volume 75, Issue 1, pp 1-15
Date: 06 Jan 2006

A Two-component Generalization of the Camassa-Holm Equation and its Solutions

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Abstract

An explicit reciprocal transformation between a two-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

Mathematics Subject Classifications (2000). 35Q53, 37K35