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arxiv: math-ph/9810005 · v1 · submitted 1998-10-07 · 🧮 math-ph · math.DG· math.GR· math.MP· quant-ph

Integrability of Riccati equation from a group theoretical viewpoint

Jose F. Carinena , Arturo Ramos This is my paper
classification 🧮 math-ph math.DGmath.GRmath.MPquant-ph
keywords grouptheoreticalequationintegrabilityriccatisomearisesbetter
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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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