Noether symmetries and conservation laws of a class of time-dependent multidimensional nonlinear wave equations
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arXiv
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| Format: | Preprint |
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2026
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| author | Güngör, F. Özemir, C. |
| author_facet | Güngör, F. Özemir, C. |
| contents | Conservation laws of a class of time-dependent damped nonlinear multidimensional wave equations are derived by Noether's theorem. For arbitrary nonzero damping coefficient and nonlinear interaction term, its infinitesimal variational symmetries span a Euclidean algebra $\euclid(n)$ of space translations and rotations. They produce conservation of linear and angular momentums. For some specific forms of these two terms symmetry algebra is enlarged to a subalgebra of the conformal algebra $\conf(1,n)$ and in this case more interesting conservation laws are found. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15148 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Noether symmetries and conservation laws of a class of time-dependent multidimensional nonlinear wave equations Güngör, F. Özemir, C. Mathematical Physics Analysis of PDEs Conservation laws of a class of time-dependent damped nonlinear multidimensional wave equations are derived by Noether's theorem. For arbitrary nonzero damping coefficient and nonlinear interaction term, its infinitesimal variational symmetries span a Euclidean algebra $\euclid(n)$ of space translations and rotations. They produce conservation of linear and angular momentums. For some specific forms of these two terms symmetry algebra is enlarged to a subalgebra of the conformal algebra $\conf(1,n)$ and in this case more interesting conservation laws are found. |
| title | Noether symmetries and conservation laws of a class of time-dependent multidimensional nonlinear wave equations |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2605.15148 |