Abstract
We consider the class of general real Riccati equations and find its Lie group of equivalence transformations. Using the Lie algebra of this Lie group and its invariants we formulate criteria of equivalence of the Riccati equations. These criteria determine some cases of the general Riccati equations, which are integrable in quadratures.
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An erratum to this article can be found at http://dx.doi.org/10.1007/s00030-010-0073-2
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Czyżycki, T., Hrivnák, J. Equivalence problem and integrability of the Riccati equations. Nonlinear Differ. Equ. Appl. 17, 371–388 (2010). https://doi.org/10.1007/s00030-009-0049-2
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DOI: https://doi.org/10.1007/s00030-009-0049-2