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Noether symmetries and conservation laws of a class of time-dependent multidimensional nonlinear wave equations
Abstract
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.
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BibTeX
@misc{gungor2026noether,
title = {{Noether symmetries and conservation laws of a class of time-dependent multidimensional nonlinear wave equations}},
author = {F. Güngör and C. Özemir},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.15148},
eprint = {2605.15148},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.15148},
}
RIS
TY - UNPB
TI - Noether symmetries and conservation laws of a class of time-dependent multidimensional nonlinear wave equations
AU - F. Güngör
AU - C. Özemir
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2605.15148
UR - https://arxiv.org/abs/2605.15148
AB - 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.
ER -