%A 吉飞宇, 张顺利
%T New variable separation solutions for the generalized nonlinear diffusion equations
%0 Journal Article
%D 2016
%J 中国物理B
%R 10.1088/1674-1056/25/3/030202
%P 30202-030202
%V 25
%N 3
%U {http://cpb.iphy.ac.cn/CN/abstract/article_66669.shtml}
%8 2016-03-05
%X The functionally generalized variable separation of the generalized nonlinear diffusion equations *u*_{t}=*A*(*u*,*u*_{x})*u*_{xx}+ *B*(*u*,*u*_{x}) is studied by using the conditional Lie-Bäcklund symmetry method. The variant forms of the considered equations, which admit the corresponding conditional Lie-Bäcklund symmetries, are characterized. To construct functionally generalized separable solutions, several concrete examples defined on the exponential and trigonometric invariant subspaces are provided.