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Generalized Lie approach to integrability by quadratures
Cariñena, J.F.
(Universidad de Zaragoza)
;
Falceto, F.
(Universidad de Zaragoza)
;
Grabowski, J.
;
Rañada, M. F.
(Universidad de Zaragoza)
Resumen:
After a short review of the classical Lie theorem, a finite-dimensional Lie algebra of vector fields is considered and the most general conditions under which the integral curves of one of the fields can be obtained by quadratures in a prescribed way are discussed, determining also the number of quadratures needed to integrate the system. The theory is illustrated with examples, and an extension of the theorem where the Lie algebras are replaced by some distributions is also presented.
Idioma:
Inglés
DOI:
10.4064/bc110-0-2
Año:
2016
Publicado en:
Banach Center Publications
110 (2016), 25-40
ISSN:
0137-6934
Financiación:
info:eu-repo/grantAgreement/ES/DGA/E24-1
Financiación:
info:eu-repo/grantAgreement/ES/DGA/E24-2
Financiación:
info:eu-repo/grantAgreement/ES/MINECO/FPA2015-65745-P
Financiación:
info:eu-repo/grantAgreement/ES/MINECO/MTM2015-64166-C2-1-P
Tipo y forma:
Article (Published version)
Área (Departamento):
Área Física Teórica
(
Dpto. Física Teórica
)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
Exportado de SIDERAL (2019-02-18-13:36:00)
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Record created 2019-02-18, last modified 2019-02-18
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