https://doi.org/10.1140/epjp/s13360-023-04241-5
Regular Article
Variational symmetries of Lagrangian systems with second-order derivatives
1
Department of Physics, Bogazici University, 34342, Bebek, Istanbul, Turkey
2
Institute of Radiation Problems, Azerbaijan National Academy of Sciences, B.Vahabzade St. 9, 1143, Baku, Azerbaijan
3
Department of Mathematics, Khazar University, Mehseti St. 41, 1096, Baku, Azerbaijan
b
ilmar.gahramanov@boun.edu.tr
Received:
8
January
2023
Accepted:
25
June
2023
Published online:
12
July
2023
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 an interest in higher-order Lagrangians and symmetries. The discussed technique is also applicable to the Lagrangian systems with higher-order derivatives.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
