Letters in Mathematical Physics

, Volume 75, Issue 1, pp 1–15

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


DOI: 10.1007/s11005-005-0041-7

Cite this article as:
Chen, M., liu, S. & Zhang, Y. Lett Math Phys (2006) 75: 1. doi:10.1007/s11005-005-0041-7


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 equationAKNS hierarchyreciprocal transformation

Copyright information

© Springer 2006

Authors and Affiliations

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