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. 
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