科研之友
微信
新浪微博
Facebook
分享链接
摘要
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-Backlund symmetry method. The variant forms of the considered equations, which admit the corresponding conditional Lie-Backlund symmetries, are characterized. To construct functionally generalized separable solutions, several concrete examples defined on the exponential and trigonometric invariant subspaces are provided.
