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Lie symmetry analysis and conservation laws of non-linear (2+1) elastic wave equation
September 07 2022
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Abstract
The elastic wave propagation in inelastic media gives rise to non-linear wave equation. We study such a nonlinear wave in two dimensions using Murnaghan model. Lie symmetries, invariant exact solutions and conservation laws using the Noether theorem have been found. The nonlinear elastic wave equation with a damping term has been dealt with using the partial Noether approach.
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Most cited references14
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Noether-Type Symmetries and Conservation Laws Via Partial Lagrangians
F. M. Mahomed, A. H. Kara (2006)
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Wave propagation in elastic solids
J. Achenbach, JD Achenbach, J. D. Achenbach … (2012)
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