A geometric approach to integrability conditions for Riccati equations

A geometric approach to integrability conditions for Riccati equations

Several instances of integrable Riccati equations are analyzed from the geometric perspective of the theory of Lie systems. This provides us a unifying viewpoint for previous approaches.

Bibliographic Details
Main Authors: Arturo Ramos, Javier de Lucas, Jose F. Carinena
Format: Article
Language:English
Published: Texas State University 2007-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Lie systems
Riccati equations
reduction methods
integrability by quadratures
Online Access:http://ejde.math.txstate.edu/Volumes/2007/122/abstr.html
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spelling doaj-208f9e47dada4cd9a816c4e303c507102020-11-24T20:41:28ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-09-012007122114A geometric approach to integrability conditions for Riccati equationsArturo RamosJavier de LucasJose F. CarinenaSeveral instances of integrable Riccati equations are analyzed from the geometric perspective of the theory of Lie systems. This provides us a unifying viewpoint for previous approaches.http://ejde.math.txstate.edu/Volumes/2007/122/abstr.htmlLie systemsRiccati equationsreduction methodsintegrability by quadratures
collection DOAJ
language English
format Article
sources DOAJ
author Arturo Ramos
Javier de Lucas
Jose F. Carinena
spellingShingle Arturo Ramos
Javier de Lucas
Jose F. Carinena
A geometric approach to integrability conditions for Riccati equations
Electronic Journal of Differential Equations
Lie systems
Riccati equations
reduction methods
integrability by quadratures
author_facet Arturo Ramos
Javier de Lucas
Jose F. Carinena
author_sort Arturo Ramos
title A geometric approach to integrability conditions for Riccati equations
title_short A geometric approach to integrability conditions for Riccati equations
title_full A geometric approach to integrability conditions for Riccati equations
title_fullStr A geometric approach to integrability conditions for Riccati equations
title_full_unstemmed A geometric approach to integrability conditions for Riccati equations
title_sort geometric approach to integrability conditions for riccati equations
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2007-09-01
description Several instances of integrable Riccati equations are analyzed from the geometric perspective of the theory of Lie systems. This provides us a unifying viewpoint for previous approaches.
topic Lie systems
Riccati equations
reduction methods
integrability by quadratures
url http://ejde.math.txstate.edu/Volumes/2007/122/abstr.html
work_keys_str_mv AT arturoramos ageometricapproachtointegrabilityconditionsforriccatiequations
AT javierdelucas ageometricapproachtointegrabilityconditionsforriccatiequations
AT josefcarinena ageometricapproachtointegrabilityconditionsforriccatiequations
AT arturoramos geometricapproachtointegrabilityconditionsforriccatiequations
AT javierdelucas geometricapproachtointegrabilityconditionsforriccatiequations
AT josefcarinena geometricapproachtointegrabilityconditionsforriccatiequations
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