Invariance properties and conservation laws of the nonlinear damped wave equation with power law nonlinearities

被引：0
|
作者：
Al Ali, Usamah S. [1 ]
Bokhari, Ashfaque H. [1 ]
Kara, A. H. [1 ,2 ]
Zaman, F. D. [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia
[2] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa
来源：
RESULTS IN PHYSICS | 2017年 / 7卷
关键词：
Power law non-linearity; Diffusion; Damped wave; Conservation laws; PARTIAL-DIFFERENTIAL EQUATIONS; DIRECT CONSTRUCTION METHOD; CAUCHY-PROBLEM;
D O I：
10.1016/j.rinp.2017.02.026
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Nonlinear evolution equations represent some of the most fundamental processes in both physics as well engineering. Considering this, we analyze and classify the three dimensional wave equation with a power law nonlinearity in presence of damping and external force terms. In view of the significance of conservation laws in physics, a study of the invariance properties is presented and conservation laws are constructed and classified. An illustrative case of a symmetry reduction in one special case is presented. (C) 2017 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license.
引用
收藏
页码：991 / 994
页数：4
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