A symmetry analysis of some classes of evolutionary nonlinear (2+1)-diffusion equations with variable diffusivity

被引：4

作者：

Bokhari, Ashfaque H. ^{[3
]}

Al Dweik, Ahmad Y. ^{[3
]}

Kara, A. H. ^{[1
,2
]}

Zaman, F. D. ^{[3
]}

机构：

[1] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa

[2] Univ Witwatersrand, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Johannesburg, South Africa

[3] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia

来源：

NONLINEAR DYNAMICS | 2010年 / 62卷 / 1-2期

关键词：

(2+1)-nonlinear diffusion equation; Variable diffusivity; Complete classification; SEPARATION;

D O I：

10.1007/s11071-010-9704-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper the (2+1)-nonlinear diffusion equation u (t) -div(f(u)grad u)=0 with variable diffusivity is considered. Using the Lie method, a complete symmetry classification of the equation is presented. Reductions, via two-dimensional Lie subalgebras of the equation, to first- or second-order ordinary differential equations are given. In a few interesting cases exact solutions are presented.

引用

页码：127 / 138

页数：12

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