On the symmetries and conservation laws of the multidimensional nonlinear damped wave equations
type: Item
instance of: scholarly article
title: On the symmetries and conservation laws of the multidimensional nonlinear damped wave equations
zbMATH Open document ID: 1400.35012
DOI: 10.1155/2017/9401205
author: Usamah S. Al-Ali
author: Ashfaque H. Bokhari
author: Abdul H. Kara
author: F. D. Zaman
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: We carry out a classification of Lie symmetries for the (\(2 + 1\))-dimensional nonlinear damped wave equation \(u_{t t} + f \left(u\right) u_t = \mathrm{div}(g \left(u\right) \mathrm{grad} u)\) 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.
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35L71
zbMATH DE Number: 6962685
zbMATH Keywords: Lie symmetries
zbMATH Keywords: variable damping
zbMATH Keywords: multiplier approach
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/9401205
OpenAlex ID: W2579123886
Wikidata QID: Q59142476
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description: scientific article; zbMATH DE number 6962685