Nonlocal Symmetries, Telescopic Vector Fields and λ-Symmetries of Ordinary Differential Equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Nonlocal Symmetries, Telescopic Vector Fields and λ-Symmetries of Ordinary Differential Equations
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| Creator |
Muriel, C.
Romero, J.L. |
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| Description |
This paper studies relationships between the order reductions of ordinary differential equations derived by the existence of λ-symmetries, telescopic vector fields and some nonlocal symmetries obtained by embedding the equation in an auxiliary system. The results let us connect such nonlocal symmetries with approaches that had been previously introduced: the exponential vector fields and the λ-coverings method. The λ-symmetry approach let us characterize the nonlocal symmetries that are useful to reduce the order and provides an alternative method of computation that involves less unknowns. The notion of equivalent λ-symmetries is used to decide whether or not reductions associated to two nonlocal symmetries are strictly different.
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| Date |
2019-02-19T18:24:29Z
2019-02-19T18:24:29Z 2012 |
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| Type |
Article
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| Identifier |
Nonlocal Symmetries, Telescopic Vector Fields and λ-Symmetries of Ordinary Differential Equations / C. Muriel, J.L. Romero // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 46 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 34A05; 34A34 DOI: http://dx.doi.org/10.3842/SIGMA.2012.106 http://dspace.nbuv.gov.ua/handle/123456789/149189 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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