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
Description
Summary: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.
ISSN:1072-6691

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