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.File in questo prodotto:
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