Classical and nonclassical symmetry classifications of nonlinear wave equation with dissipation

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...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2015-03, Vol.36 (3), p.365-378
Main Authors: Yun, Yinshan, Temuer, Chaolu
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical Mechanics
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
分类
古典
守恒定律
对称
耗散
非线性波动方程
非线性波方程
非经典
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Summary: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.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-015-1910-6