Symmetry Reductions and Group-Invariant Solutions of (2+1)-Dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada Equation  

作　　者：吕娜 梅建琴 张鸿庆 

机构地区：[1]School of Mathematical Sciences, Dalian University of Technology

出　　处：《Communications in Theoretical Physics》2010年第4期591-595,共5页理论物理通讯（英文版）

基　　金：Supported by the Natural Key Basic Research Project of China under Grant No. 2004CB318000;the 'Math + X' Key Project and Science Foundation of Dalian University of Technology under Grant No. SFDUT0808

摘　　要：With the aid of symbolic computation, we present the symmetry transformations of the (2+1)-dimensionalCaudrey-Dodd Gibbon-Kotera-Sawada equation with Lou's direct method that is based on Lax pairs. Moreover, withthe symmetry transformations we obtain the Lie point symmetries of the CDGKS equation, and reduce the equation withthe obtained symmetries. As a result, three independent reductions are presented and some group-invariant solutions ofthe equation are given.

关 键 词：symmetry reduction Caudrey-Dodd-Gibbon-Kotera-Sawada equation Lou＇s direct method group-invariant solution 

分 类 号：O175[理学—数学]