Integrability of Riccati equation from a group theoretical viewpoint

Details Integrability of Riccati equation from a group theoretical viewpoint Integrability of Riccati equation from a group theoretical viewpoint

1998-10-07

arxiv.org/abs/math-ph/9810005v1

Int. J. Mod. Phys. A 14, 1935 (1999)

Physics

Mathematical Physics

21 pages, Latex 2E, DFTUZ 98/26

Scientific paper

10.1142/S0217751X9900097X

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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