Variable Separation and Exact Solutions to Generalized Nonlinear Diffusion Equations
ZHANG Shun-Li1,2 , LOU Sen-Yue1,3 , QU Chang-Zheng2
1 Department of Physics, Shanghai Jiao Tong University, Shanghai 200030
2 Department of Mathematics, Northwest University, Xi’an 710069
3 Department of Physics, Ningbo University, Ningbo 315211
Variable Separation and Exact Solutions to Generalized Nonlinear Diffusion Equations
ZHANG Shun-Li1,2 ;LOU Sen-Yue1,3 ;QU Chang-Zheng2
1 Department of Physics, Shanghai Jiao Tong University, Shanghai 200030
2 Department of Mathematics, Northwest University, Xi’an 710069
3 Department of Physics, Ningbo University, Ningbo 315211
关键词 ：
02.30.Ik ,
03.40.K ,
02.30.Jr
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.
Key words ：
02.30.Ik
03.40.K
02.30.Jr
出版日期: 2002-12-01
引用本文:
ZHANG Shun-Li;LOU Sen-Yue;QU Chang-Zheng. Variable Separation and Exact Solutions to Generalized Nonlinear Diffusion Equations[J]. 中国物理快报, 2002, 19(12): 1741-1744.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2002/V19/I12/1741
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2002, Vol. 19 
