New variable separation approach: application to nonlinear diffusion equations
Exactly Solvable and Integrable Systems
2009-11-07 v1
Abstract
The concept of the derivative-dependent functional separable solution, as a generalization to the functional separable solution, is proposed. As an application, it is used to discuss the generalized nonlinear diffusion equations based on the generalized conditional symmetry approach. As a consequence, a complete list of canonical forms for such equations which admit the derivative-dependent functional separable solutions is obtained and some exact solutions to the resulting equations are described.
Cite
@article{arxiv.nlin/0210017,
title = {New variable separation approach: application to nonlinear diffusion equations},
author = {Shun-li Zhang and Sen-yue Lou and Chang-zheng Qu},
journal= {arXiv preprint arXiv:nlin/0210017},
year = {2009}
}
Comments
19 pages, 2 figs