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Functional Variable Separation for Extended (l+2)-Dimensional Nonlinear Wave Equations
引用本文:张顺利,楼森岳,屈长征.Functional Variable Separation for Extended (l+2)-Dimensional Nonlinear Wave Equations[J].中国物理快报,2005,22(11):2731-2734.
作者姓名:张顺利  楼森岳  屈长征
作者单位:[1]Center of Nonlinear Science, Ningbo University, Ningbo 315211 [2]Department of Mathematics, Northwest University, Xi'an 710069 [3]Institute of Modern Physics, Northwest University, Xi ' an 710069
基金项目:Supported by the National Natural Science Foundation of China under Grant Nos 10371098, 10447007 and 10475055, the Special Research Project of Educational Department of Shaanxi Province (No 03JK060).
摘    要:The functional variable separation approach is applied to study extended (1+2)-dimensional nonlinear wave equations. Complete classification for those equations admitting the functional separable solutions and some exact separable solutions are obtained.

关 键 词:非线性波方程  变量分离  精确解  李对称群  Stackel矩阵
收稿时间:2005-08-02
修稿时间:2005-08-02
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