A quasi-Lie schemes approach to second-order Gambier equations
Cariñena , J.F. (Universidad de Zaragoza) ; Guha , P. ; De Lucas, J.
Resumen: A quasi-Lie scheme is a geometric structure that provides t-dependent changes of variables transforming members of an associated family of systems of first-order differential equations into members of the same family. In this note we introduce two quasi-Lie schemes for studying second-order Gambier equations in a geometric way. This allows us to study the transformation of these equations into simpler canonical forms, which solves a gap in the previous literature, and other relevant differential equations, which leads to derive new constants of motion for families of second-order Gambier equations. Additionally, we describe general solutions of certain second-order Gambier equations in terms of particular solutions of Riccati equations, linear systems, and t-dependent frequency harmonic oscillators.
Idioma: Inglés
DOI: 10.3842/SIGMA.2013.026
Año: 2013
Publicado en: Symmetry Integrability and Geometry-Methods and Applications 9, 26 (2013), [23 pp]
ISSN: 1815-0659
Factor impacto JCR: 1.299 (2013)
Categ. JCR: PHYSICS, MATHEMATICAL rank: 25 / 55 = 0.455 (2013) - Q2 - T2
Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-1
Financiación: info:eu-repo/grantAgreement/ES/DGA/FMI40-10
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2009-11154
Tipo y forma: Article (Published version)
Área (Departamento): Física Teórica (Departamento de 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. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
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Idioma: Inglés
DOI: 10.3842/SIGMA.2013.026
Año: 2013
Publicado en: Symmetry Integrability and Geometry-Methods and Applications 9, 26 (2013), [23 pp]
ISSN: 1815-0659
Factor impacto JCR: 1.299 (2013)
Categ. JCR: PHYSICS, MATHEMATICAL rank: 25 / 55 = 0.455 (2013) - Q2 - T2
Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-1
Financiación: info:eu-repo/grantAgreement/ES/DGA/FMI40-10
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2009-11154
Tipo y forma: Article (Published version)
Área (Departamento): Física Teórica (Departamento de 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. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original. Exportado de SIDERAL (2017-05-04-10:07:58)
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Record created 2017-01-17, last modified 2017-05-04