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