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Self-adjointness, symmetries, and conservation laws for a class of wave equations incorporating dissipation. (English) Zbl 1275.35016
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.

MSC:
35B06Symmetries, invariants, etc. (PDE)
35L70Nonlinear second-order hyperbolic equations
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References:
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