Invariant Sets and Exact Solutions to Higher-Dimensional Wave Equations

作     者：QU Gai-Zhu ZHANG Shun-Li ZHU Chun-Rong 

作者机构：Center for Nonlinear Studies Department of Mathematics Northwest University Xi＇an 710069 China Center of Nonlinear Science Ningbo University Ningbo 315211 China Department of Mathematics Anhui Normal University Wuhu 241000 China 

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

年 卷 期：2008年第49卷第5期

页      面：1119-1124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：The project supported by National Natural Science Foundation of China under Grant Nos.10447007 and 10671156 Natural Science Foundation of Shaanxi Province of China under Grant No.2005A13 

主　　题：wave equation invariant set exact solution 

摘      要：The invariant sets and exact solutions of the （1 ＋ 2）-dimensional wave equations are discussed. It is shown that there exist a class of solutions to the equations which belong to the invariant set E0 = {u ： ux = vxF（u）,uy = vyF（u） }. This approach is also developed to solve （1 ＋ N）-dimensional wave equations.