Approximate Symmetry Reduction and Infinite Series Solutions to the Nonlinear Wave Equation with Damping  

作　　者：赵远 张顺利 楼森岳 

机构地区：[1]Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi'an 710069 [2]Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 [3]Department of Physics, Ningbo University, Ningbo 315211

出　　处：《Chinese Physics Letters》2009年第10期1-4,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 10475055, 10671156, 10675065, 10735030 and 90503006, and the Natural Science Foundation of Shaanxi Province of China under Grant No SJ08A05.

摘　　要：The approximate symmetry perturbation method is applied to the nonlinear damped wave equation. The approximate symmetry reduction equations of different orders are derived and the corresponding series reduction solutions are obtained.The approximate symmetry perturbation method is applied to the nonlinear damped wave equation. The approximate symmetry reduction equations of different orders are derived and the corresponding series reduction solutions are obtained.

关 键 词：sea surface nonliear interaction numerical method 

分 类 号：O175.29[理学—数学] TU473.1[理学—基础数学]