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论文类型：期刊论文

发表时间：2010-04-01

发表刊物：COMMUNICATIONS IN THEORETICAL PHYSICS

收录刊物：SCIE、ISTIC

卷号：53

期号：4

页面范围：591-595

ISSN号：0253-6102

关键字：symmetry reduction; Caudrey-Dodd-Gibbon-Kotera-Sawada equation; Lou's direct method; group-invariant solution

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