Letters in Mathematical Physics

, Volume 75, Issue 1, pp 1–15 | Cite as

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

  • Ming Chen
  • Si-Qi liu
  • Youjin Zhang


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


Camassa–Holm equation AKNS hierarchy reciprocal transformation 


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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Department of Mathematical SciencesTsinghua UniversityBeijingPeople’s Republic of China

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