%0 Journal Article
%T Similarity reductions and analytic solutions for the(2+1)-dimensional Camassa-Holm equations<br>(2+1)维Camassa-Holm方程的相似约化与解析解
%A Zheng Chun-Long
%A Zhang Jie-Fang
%A <br>郑春龙
%A 张解放
%J 物理学报
%D 2002
%I 
%X 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.
%K Camassa
%K Holm equations
%K direct method
%K similarity reduction
%K analytic solution<br>Camassa－Homl方程
%K 相似约化
%K 直接方法
%K 解析解
%K 非线性演化方程
%K 数学物理方程
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=3D4A2BA5C50C3152&yid=C3ACC247184A22C1&vid=987EDA49D8A7A635&iid=708DD6B15D2464E8&sid=BC035D350257EF96&eid=76DB0851E3F067C2&journal_id=1000-3290&journal_name=物理学报&referenced_num=10&reference_num=22