Electron. J. Diff. Eqns., Vol. 2007(2007), No. 122, pp. 1-14.

A geometric approach to integrability conditions for Riccati equations

José F. Cariñena, Javier de Lucas, Arturo Ramos

Abstract:
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.

Submitted May 15, 2007. Published September 21, 2007.
Math Subject Classifications: 34A26, 34A34, 34A05.
Key Words: Lie systems; Riccati equations; reduction methods; integrability by quadratures.

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José F. Cariñena
Departamento de Física Teórica
Universidad de Zaragoza
50009 Zaragoza, Spain
email: jfc@unizar.es
Javier de Lucas
Departamento de Física Teórica
Universidad de Zaragoza
50009 Zaragoza, Spain
email: dlucas@unizar.es
Arturo Ramos
Departamento de Análisis Económico
Universidad de Zaragoza
50005 Zaragoza, Spain
email: aramos@unizar.es

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