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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

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People’s Republic of China

    Ming Chen, Si-Qi liu & Youjin Zhang

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  1. Ming Chen
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  2. Si-Qi liu
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  3. Youjin Zhang
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Correspondence to Ming Chen.

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

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Chen, M., liu, SQ. & Zhang, Y. A Two-component Generalization of the Camassa-Holm Equation and its Solutions. Lett Math Phys 75, 1–15 (2006). https://doi.org/10.1007/s11005-005-0041-7

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  • DOI: https://doi.org/10.1007/s11005-005-0041-7

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