Approximate derivative-dependent functional variable separation for quasi-linear diffusion equations with a weak source  

作　　者：吉飞宇 杨春晓 

机构地区：[1]College of Science,Xi'an University of Architecture and Technology

出　　处：《Chinese Physics B》2013年第10期67-72,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.10671156);the Natural Science Foundation of Shaanxi Province of China(Grant No.SJ08A05)

摘　　要：By using the approximate derivative-dependent functional variable separation approach, we study the quasi-linear diffusion equations with a weak source ut = （A（u）Ux）x ＋ eB（u, Ux）. A complete classification of these perturbed equations which admit approximate derivative-dependent functional separable solutions is listed. As a consequence, some approxi- mate solutions to the resulting perturbed equations are constructed via examples.By using the approximate derivative-dependent functional variable separation approach, we study the quasi-linear diffusion equations with a weak source ut = （A（u）Ux）x ＋ eB（u, Ux）. A complete classification of these perturbed equations which admit approximate derivative-dependent functional separable solutions is listed. As a consequence, some approxi- mate solutions to the resulting perturbed equations are constructed via examples.

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

分 类 号：O175[理学—数学]