J4 ›› 2009, Vol. 26 ›› Issue (6): 654-657.

• Quantum Physics • Previous Articles     Next Articles

Equivalence transformation for the Camassa-Holm equation

QIU Yan-Hong, TIAN Bao-Dan   

  1. School of science, Southwest University of Science and Technology, Mianyang 621010,China
  • Online:2009-11-03

Abstract:

A simple improved direct method is presented to find equivalence transforma- tion for a class of Camassa-Holm equation. Applying this equivalence transformation, the theorem of symmetry group for the Camassa-Holm equation is obtained, which describes the relationship between the new solutions and the old ones. Finally, some new exact and explicit solutions of the Camassa-Holm equation are obtained by the present references.

Key words: mathematical physics, equivalence transformation, direct method, Camassa- Holm equation, explicit solutions