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has been cited by the following article:
TITLE: Equivalence Problem of the Painlevé Equations
AUTHORS: Sopita Khamrod
KEYWORDS: Equivalence Problem; Painlevé Equations; Point Transformation
JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.2, March 19, 2013
ABSTRACT: The manuscript is devoted to the equivalence problem of the Painlevé equations. Conditions which are necessary and sufficient for second-order ordinary differential equations y″=F (x ,y, y′) to be equivalent to the first and second Painlevé equation under a general point transformation are obtained. A procedure to check these conditions is found.