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.
Publié le : 1998-10-07
Classification:
Mathematical Physics,
Mathematics - Differential Geometry,
Mathematics - Group Theory,
Quantum Physics,
58D19, 34A26
@article{9810005,
author = {Carinena, Jose F. and Ramos, Arturo},
title = {Integrability of Riccati equation from a group theoretical viewpoint},
journal = {arXiv},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/9810005}
}
Carinena, Jose F.; Ramos, Arturo. Integrability of Riccati equation from a group theoretical viewpoint. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810005/