Similarity reductions and analytic solutions for the(2+1)-dimensional Camassa-Holm equations
(2+1)维Camassa-Holm方程的相似约化与解析解

In this paper, the direct method proposed by Clarkson and Kruskal (CK) is extended and applied to the (2+1) dimensional Camassa Holm equations. As a result, several types of similarity reductions and analytic solutions are obtained, which contain Riccati equation, Logistic equation, Peakon solution, Cuspon solution and singularity solutions of t. The CK method can be applied to other nonlinear physics models.