Self‐Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation

Yang Wang and Long Wei

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/407908

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:407908

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