Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws

Matteo Gorgone and Francesco Oliveri
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Matteo Gorgone: Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d’Alcontres 31, 98166 Messina, Italy
Francesco Oliveri: Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d’Alcontres 31, 98166 Messina, Italy

Mathematics, 2021, vol. 9, issue 22, 1-14

Abstract: In this paper, within the framework of the consistent approach recently introduced for approximate Lie symmetries of differential equations, we consider approximate Noether symmetries of variational problems involving small terms. Then, we state an approximate Noether theorem leading to the construction of approximate conservation laws. Some illustrative applications are presented.

Keywords: approximate Lie symmetries; perturbed Lagrangians; approximate Noether theorem; approximate conservation laws (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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