On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations

被引：2
|
作者：
Al-Ali, Usamah S. [1 ]
Bokhari, Ashfaque H. [1 ]
Kara, A. H. [2 ]
Zaman, F. D. [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[2] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2017年 / 2017卷
关键词：
DIRECT CONSTRUCTION; PROPAGATION;
D O I：
10.1155/2017/9401205
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We carry out a classification of Lie symmetries for the (2 + 1)-dimensional nonlinear damped wave equation u(tt) + f(u)u(t) = div(g(u)gradu) with variable damping. Similarity reductions of the equation are performed using the admitted Lie symmetries of the equation and some interesting solutions are presented. Employing the multiplier approach, admitted conservation laws of the equation are constructed for some new, interesting cases.
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收藏
页数：11
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