# INTEGRABILITY OF THE RICCATI EQUATION FROM A GROUP-THEORETICAL VIEWPOINT

@article{Cariena1999INTEGRABILITYOT, title={INTEGRABILITY OF THE RICCATI EQUATION FROM A GROUP-THEORETICAL VIEWPOINT}, author={Jos{\'e} F. Cari{\~n}ena and Arturo Ramos}, journal={International Journal of Modern Physics A}, year={1999}, volume={14}, pages={1935-1951} }

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.

## 54 Citations

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