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.

Approximate Noether symmetries of perturbed lagrangians and approximate conservation laws

Gorgone M.
Primo
Membro del Collaboration Group
;
Oliveri F.
Secondo
Membro del Collaboration Group
2021-01-01

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3216556
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