Functional Variable Separation for Generalized (1+2)-Dimensional Nonlinear Diffusion Equations
ZHANG Shun-Li1,2, LOU Sen-Yue1,3, QU Chang-Zheng2
1Center of Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211
2Department of Mathematics, Northwest University, Xi’an 710069
3Department of Physics, Shanghai Jiao Tong University, Shanghai 200030
Functional Variable Separation for Generalized (1+2)-Dimensional Nonlinear Diffusion Equations
ZHANG Shun-Li1,2;LOU Sen-Yue1,3;QU Chang-Zheng2
1Center of Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211
2Department of Mathematics, Northwest University, Xi’an 710069
3Department of Physics, Shanghai Jiao Tong University, Shanghai 200030
Abstract： The functional variable separation approach is applied to study the generalized (1+2)-dimensional nonlinear diffusion equations. Complete classification for those equations admitting the functional separable solutions and some such exact solutions are obtained. Consequently, the results reported previously are widely extended.
2005, Vol. 22 
