Integrability of Riccati equation from a group theoretical viewpoint
Mathematical Physics
2009-10-31 v1 Differential Geometry
Group Theory
math.MP
Quantum Physics
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.
Cite
@article{arxiv.math-ph/9810005,
title = {Integrability of Riccati equation from a group theoretical viewpoint},
author = {Jose F. Carinena and Arturo Ramos},
journal= {arXiv preprint arXiv:math-ph/9810005},
year = {2009}
}
Comments
21 pages, Latex 2E, DFTUZ 98/26