Lie Reduction and Conditional Symmetries of Some Variable Coefficient Nonlinear Wave Equations

作     者：黄定江 周水庚 梅建琴 张鸿庆 

作者机构：School of Computer Science Fudan University Shanghai Key Lab of Intelligent Information Processing Fudan University Department of Mathematics East China University of Science and Technology Department of Applied Mathematics Dalian University of Technology 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2010年第53卷第1期

页      面：1-5页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Key Basic Research Project of China under Grant No.2010CB126600 the National Natural Science Foundation of China under Grant No.60873070 Shanghai Leading Academic Discipline Project No.B114 the Postdoctoral Science Foundation of China under Grant No.20090450067 Shanghai Postdoctoral Science Foundation under Grant No.09R21410600 

主　　题：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 algebras is 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.