Group Foliation Method and Functional Separation of Variables to Nonlinear Diffusion Equations
QU Chang-Zheng, ZHANG Shun-Li
1 Center for Nonlinear Studies, Northwest University, Xi’an 710069
2 Department of Mathematics, Northwest University, Xi’an 710069
Group Foliation Method and Functional Separation of Variables to Nonlinear Diffusion Equations
QU Chang-Zheng; ZHANG Shun-Li
1 Center for Nonlinear Studies, Northwest University, Xi’an 710069
2 Department of Mathematics, Northwest University, Xi’an 710069
关键词 ：
02.20.Tw ,
11.30.Na ,
44.05.+e ,
05.45.Yv
Abstract ： Generalized functional separation of variables to nonlinear diffusion equations is studied in terms of the extended group foliation method. A complete classification for the nonlinear diffusion equation with source term which admits functional separable solutions is presented.
Key words ：
02.20.Tw
11.30.Na
44.05.+e
05.45.Yv
出版日期: 2005-07-01
:
02.20.Tw
(Infinite-dimensional Lie groups)
11.30.Na
(Nonlinear and dynamical symmetries (spectrum-generating symmetries))
44.05.+e
(Analytical and numerical techniques)
05.45.Yv
(Solitons)
引用本文:
QU Chang-Zheng; ZHANG Shun-Li. Group Foliation Method and Functional Separation of Variables to Nonlinear Diffusion Equations[J]. 中国物理快报, 2005, 22(7): 1563-1566.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2005/V22/I7/1563
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2005, Vol. 22 
