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论文类型：期刊论文

发表时间：2010-01-01

发表刊物：COMMUNICATIONS IN THEORETICAL PHYSICS

收录刊物：SCIE、ISTIC

卷号：53

期号：1

页面范围：1-5

ISSN号：0253-6102

关键字：symmetry reduction; conditional symmetry; exact solutions; variable-coefficient nonlinear wave equations

摘要：Lie symmetry reduction of some truly "variable coefficient" wave equations which are singled out from a class of (1 + 1)-dimensional variable coefficient nonlinear wave equations with respect to one and two-dimensional algebrasis carried out. Some classes of exact solutions of the investigated equations are found by means of both the reductions and some modern techniques such as additional equivalent transformations and hidden symmetries and so on. Conditional symmetries are also discussed.