INTEGRABILITY OF THE RICCATI EQUATION FROM A GROUP-THEORETICAL VIEWPOINT
- 10 May 1999
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics A
- Vol. 14 (12), 1935-1951
- https://doi.org/10.1142/s0217751x9900097x
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.Keywords
This publication has 2 references indexed in Scilit:
- RELATED OPERATORS AND EXACT SOLUTIONS OF SCHRÖDINGER EQUATIONSInternational Journal of Modern Physics A, 1998
- THE NONLINEAR SUPERPOSITION PRINCIPLE AND THE WEI-NORMAN METHODInternational Journal of Modern Physics A, 1998