Classical and nonclassical symmetry classifications of nonlinear wave equation with dissipation

被引：0

作者：

Yinshan YUN ^{[1
]}

Chaolu TEMUER ^{[2
]}

机构：

[1] College of Sciences,Inner Mongolia University of Technology

[2] College of Arts and Sciences,Shanghai Maritime University

来源：

Applied Mathematics and Mechanics(English Edition) | 2015年 / 36卷 / 03期

基金：

中国国家自然科学基金;

关键词：

classical symmetry; nonclassical symmetry; symmetry classification; nonlinear wave equation;

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

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.

引用

页码：365 / 378

页数：14

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