Integrability of the Riccati equation from a group-theoretical viewpoint

Authors
Carinena, JF Ramos, A
Citation
Jf. Carinena et A. Ramos, Integrability of the Riccati equation from a group-theoretical viewpoint, INT J MOD P, 14(12), 1999, pp. 1935-1951
Citations number
10
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN journal
0217751X → ACNP
Volume
14
Issue
12
Year of publication
1999
Pages
1935 - 1951
Database
ISI
SICI code
0217-751X(19990510)14:12<1935:IOTREF>2.0.ZU;2-1
Abstract
In this paper we develop some group-theoretical methods which are shown to be very useful for a better understanding of the properties of the Riccati equation, and we discuss some of its integrability conditions from a group- theoretical perspective. The nonlinear superposition principle also arises in a simple way.