Classical and nonclassical symmetry classifications of nonlinear wave equation with dissipation

被引：0
|
作者：
Yinshan Yun
Chaolu Temuer
机构：
[1] Inner Mongolia University of Technology,College of Sciences
[2] Shanghai Maritime University,College of Arts and Sciences
来源：
Applied Mathematics and Mechanics | 2015年 / 36卷
关键词：
classical symmetry; nonclassical symmetry; symmetry classification; nonlinear wave equation; O152.5; O175.2; 22E70; 58J70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A complete classical symmetry classification and a nonclassical symmetry classification of a class of nonlinear wave equations are given with three arbitrary parameter functions. The obtained results show that such nonlinear wave equations admit richer classical and nonclassical symmetries, leading to the conservation laws and the reduction of the wave equations. Some exact solutions of the considered wave equations for particular cases are derived.
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页码：365 / 378
页数：13
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