Original Articles |
|
|
|
|
Variable Separation and Exact Solutions to Generalized Nonlinear Diffusion Equations |
ZHANG Shun-Li1,2;LOU Sen-Yue1,3;QU Chang-Zheng2 |
1Department of Physics, Shanghai Jiao Tong University, Shanghai 200030
2Department of Mathematics, Northwest University, Xi’an 710069
3Department of Physics, Ningbo University, Ningbo 315211
|
|
Cite this article: |
ZHANG Shun-Li, LOU Sen-Yue, QU Chang-Zheng 2002 Chin. Phys. Lett. 19 1741-1744 |
|
|
Abstract We study in detail a method to find the generalized nonlinear diffusion equations, which can be solved by means of the variable separation approach. A complete list of canonical forms for such equations, which admit the functional separable solutions, is obtained and some exact solutions to the resulting equations are described.
|
Keywords:
02.30.Ik
03.40.K
02.30.Jr
|
|
Published: 01 December 2002
|
|
|
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|