Variational symmetries of Lagrangian systems with higher-order derivatives
Mathematical Physics
2023-07-18 v2 math.MP
Classical Physics
Abstract
We discuss an elementary derivation of variational symmetries and corresponding integrals of motion for the Lagrangian systems depending on acceleration. Providing several examples, we make the manuscript accessible to a wide range of readers with interest in higher-order Lagrangians and symmetries. The discussed technique is also applicable to the Lagrangian systems with higher-order derivatives.
Keywords
Cite
@article{arxiv.2112.13440,
title = {Variational symmetries of Lagrangian systems with higher-order derivatives},
author = {Ege Coban and Ilmar Gahramanov and Dilara Kosva},
journal= {arXiv preprint arXiv:2112.13440},
year = {2023}
}
Comments
15 pages, v2: minor corrections, and refs. added