Lie symmetry analysis and conservation laws of non-linear (2+1) elastic wave equation
| Autor: | Usman, M., Zaman, F. D. |
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| Zdroj: | Arabian Journal of Mathematics; 20220101, Issue: Preprints p1-12, 12p |
| Abstrakt: | 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. |
| Databáze: | Supplemental Index |
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