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On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations

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We carry out a classification of Lie symmetries for the ()-dimensional nonlinear damped wave equation with variable damping. Similarity reductions of the equation are performed using the admitted Lie symmetries… Click to show full abstract

We carry out a classification of Lie symmetries for the ()-dimensional nonlinear damped wave equation with variable damping. Similarity reductions of the equation are performed using the admitted Lie symmetries of the equation and some interesting solutions are presented. Employing the multiplier approach, admitted conservation laws of the equation are constructed for some new, interesting cases.

Keywords: nonlinear damped; symmetries conservation; laws multidimensional; multidimensional nonlinear; damped wave; conservation laws

Journal Title: Advances in Mathematical Physics
Year Published: 2017

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