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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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/22/2900 |
| _version_ | 1797509512679129088 |
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| author | Matteo Gorgone Francesco Oliveri |
| author_facet | Matteo Gorgone Francesco Oliveri |
| author_sort | Matteo Gorgone |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T05:18:48Z |
| format | Article |
| id | doaj.art-6cfa4c55e8304a52b6afa8c5b4323e48 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T05:18:48Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-6cfa4c55e8304a52b6afa8c5b4323e482023-11-23T00:14:47ZengMDPI AGMathematics2227-73902021-11-01922290010.3390/math9222900Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation LawsMatteo Gorgone0Francesco Oliveri1Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d’Alcontres 31, 98166 Messina, ItalyDepartment of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d’Alcontres 31, 98166 Messina, ItalyIn 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.https://www.mdpi.com/2227-7390/9/22/2900approximate Lie symmetriesperturbed Lagrangiansapproximate Noether theoremapproximate conservation laws |
| spellingShingle | Matteo Gorgone Francesco Oliveri Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws Mathematics approximate Lie symmetries perturbed Lagrangians approximate Noether theorem approximate conservation laws |
| title | 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_short | Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws |
| title_sort | approximate noether symmetries of perturbed lagrangians and approximate conservation laws |
| topic | approximate Lie symmetries perturbed Lagrangians approximate Noether theorem approximate conservation laws |
| url | https://www.mdpi.com/2227-7390/9/22/2900 |
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