Approximate derivative-dependent functional variable separation for quasi-linear diffusion equations with a weak source

doi:10.1088/1674-1056/22/10/100202

Abstract By using the approximate derivative-dependent functional variable separation approach, we study the quasi-linear diffusion equations with a weak source u_t=(A(u)u_x)_x+∈B(u,u_x). A complete classification of these perturbed equations which admit approximate derivative-dependent functional separable solutions is listed. As a consequence, some approximate solutions to the resulting perturbed equations are constructed via examples.

Keywords: quasi-linear diffusion equation approximate derivative-dependent functional separable solution approximate generalized conditional symmetry

Received: 24 March 2013
Revised: 11 April 2013
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	02.20.Sv	(Lie algebras of Lie groups)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10671156) and the Natural Science Foundation of Shaanxi Province of China (Grant No. SJ08A05).

Corresponding Authors: Ji Fei-Yu
E-mail: feiyuji@xauat.edu.cn

Cite this article:

Ji Fei-Yu (吉飞宇), Yang Chun-Xiao (杨春晓) Approximate derivative-dependent functional variable separation for quasi-linear diffusion equations with a weak source 2013 Chin. Phys. B 22 100202

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