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Integrability of Riccati equation from a group theoretical viewpoint

Jose F. Carinena, Arturo Ramos

math-pharXiv:math-ph/9810005

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.

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