Geodesic
Symmetry groups for Painleve equations
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2012), pp. 7-17

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In this study, one-parametric symmetry groups were found for 50 canonical equations with Painleve property, and, in special cases, general solutions were obtained. The result can be used as reference for specialists in the theory of nonlinear differential equations.
Keywords: differential equation, singularities, Painleve property, symmetry groups. 
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     author = {D. S. Noshchenko and I. A. Ilyin},
     title = {Symmetry groups for {Painleve} equations},
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     url = {http://geodesic.mathdoc.fr/item/VKAM_2012_2_a0/}
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D. S. Noshchenko; I. A. Ilyin. Symmetry groups for Painleve equations. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2012), pp. 7-17. http://geodesic.mathdoc.fr/item/VKAM_2012_2_a0/