Approximate Derivative-Dependent Functional Variable Separation for the Generalized Diffusion Equations with Perturbation  

作　　者：张顺利 吉飞宇 屈长征 

机构地区：[1]Center for Nonlinear Studies, Department of Mathematics, Northwest University [2]Center of Nonlinear Science, Ningbo University

出　　处：《Communications in Theoretical Physics》2012年第8期175-181,共7页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.10671156;the Natural Science Foundation of Shaanxi Province of China under Grant No.SJ08A05

摘　　要：As an extension to the derivative-dependent functional variable separation approach, the approximate derivative-dependent functional variable separation approach is proposed, and it is applied to study the generalized diffusion equations with perturbation. Complete classification of these perturbed equations which admit approximate derivative-dependent functional separable solutions is obtained. As a result, the corresponding approximate derivative-dependent functional separable solutions to some resulting perturbed equations are derived by way of examples.

关 键 词：generalized diffusion equation approximate derivative-dependent functional separable solution approximate generalized conditional symmetry 

分 类 号：O175.2[理学—数学]