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Self-adjointness, symmetries, and conservation laws for a class of wave equations incorporating dissipation - MaRDI portal

Self-adjointness, symmetries, and conservation laws for a class of wave equations incorporating dissipation (Q369924)

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scientific article; zbMATH DE number 6209285
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Self-adjointness, symmetries, and conservation laws for a class of wave equations incorporating dissipation
scientific article; zbMATH DE number 6209285

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    Self-adjointness, symmetries, and conservation laws for a class of wave equations incorporating dissipation (English)
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    19 September 2013
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    Summary: 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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    nonlinear self-adjointness
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    dissipative source
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