Variable Separation and Exact Separable Solutions for Equations of Type uxt=A（u,ux）uxx＋B（u,ux）

作     者：ZHANG Shun-Li 

作者机构：Center for Nonlinear Studies Department of Mathematics Northwest University Xi＇an 710069 China Institute of Modern Physics Northwest University Xi＇an 710069 China Center of Nonlinear Science Ningbo University Ningbo 315211 China 

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

年 卷 期：2006年第45卷第6期

页      面：969-978页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：The project supported by National Natural Science Foundation of China under Grant Nos. 10371098  10447007  aria 10475055  the Natural Science Foundation of Shaanxi Province of China under Grant No. 2005A13  and the Special Research Project of Educational Department of Shaanxi Province under Grant No. 03JK060 

主　　题：nonlinear evolution equations variable separation generalized conditional symmetry 

摘      要：The generalized conditional symmetry is developed to study the variable separation for equations of type uxt = A（u,ux）uxx ＋ B（u, ux）. Complete classification of those equations which admit derivative-dependent functional separable solutions is obtained and some of their exact separable solutions are constructed.