Open Access
2013 Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation
Yang Wang, Long Wei
Abstr. Appl. Anal. 2013: 1-6 (2013). DOI: 10.1155/2013/407908

Abstract

In this work, we study the nonlinear self-adjointness and conservation laws for a class of wave equations with a dissipative source. We show that the equations are nonlinear self-adjoint. As a result, from the general theorem on conservation laws proved by Ibragimov and the symmetry generators, we find some conservation laws for this kind of equations.

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Yang Wang. Long Wei. "Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation." Abstr. Appl. Anal. 2013 1 - 6, 2013. https://doi.org/10.1155/2013/407908

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1275.35016
MathSciNet: MR3064344
Digital Object Identifier: 10.1155/2013/407908

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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