Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws

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 construc...

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Autores principales:	Matteo Gorgone, Francesco Oliveri
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	approximate Lie symmetries perturbed Lagrangians approximate Noether theorem approximate conservation laws Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/6cfa4c55e8304a52b6afa8c5b4323e48
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spelling	oai:doaj.org-article:6cfa4c55e8304a52b6afa8c5b4323e482021-11-25T18:17:01ZApproximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws10.3390/math92229002227-7390https://doaj.org/article/6cfa4c55e8304a52b6afa8c5b4323e482021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2900https://doaj.org/toc/2227-7390In 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.Matteo GorgoneFrancesco OliveriMDPI AGarticleapproximate Lie symmetriesperturbed Lagrangiansapproximate Noether theoremapproximate conservation lawsMathematicsQA1-939ENMathematics, Vol 9, Iss 2900, p 2900 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	approximate Lie symmetries perturbed Lagrangians approximate Noether theorem approximate conservation laws Mathematics QA1-939
spellingShingle	approximate Lie symmetries perturbed Lagrangians approximate Noether theorem approximate conservation laws Mathematics QA1-939 Matteo Gorgone Francesco Oliveri Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws
description	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.
format	article
author	Matteo Gorgone Francesco Oliveri
author_facet	Matteo Gorgone Francesco Oliveri
author_sort	Matteo Gorgone
title	Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws
title_short	Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws
title_full	Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws
title_fullStr	Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws
title_full_unstemmed	Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws
title_sort	approximate noether symmetries of perturbed lagrangians and approximate conservation laws
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/6cfa4c55e8304a52b6afa8c5b4323e48
work_keys_str_mv	AT matteogorgone approximatenoethersymmetriesofperturbedlagrangiansandapproximateconservationlaws AT francescooliveri approximatenoethersymmetriesofperturbedlagrangiansandapproximateconservationlaws
_version_	1718411387278983168

Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws

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