Symmetry classifications and reductions of some classes of (2+1)-nonlinear heat equation

被引：18

作者：

Ahmad, A. ^{[1
]}

Bokhari, Ashfaque H. ^{[1
]}

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

Zaman, F. D. ^{[1
]}

机构：

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

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 01期

关键词：

two-dimensional nonlinear heat equation; symmetry classification;

D O I：

10.1016/j.jmaa.2007.07.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The (2 + 1)-nonlinear heat equation u(t) - f (u)(u(xx) + u(yy)) = 0 is considered. A symmetry classification of the equation using Lie group method is presented and reduction to the first- or second-order ordinary differential equations is provided. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：175 / 181

页数：7

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