Variational symmetries of Lagrangian systems with higher-order derivatives
arXiv:2112.13440 · doi:10.1140/epjp/s13360-023-04241-5
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.
15 pages, v2: minor corrections, and refs. added