Equivalence Problem of the Painlevé Equations


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.

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S. Khamrod, "Equivalence Problem of the Painlevé Equations," Advances in Pure Mathematics, Vol. 3 No. 2, 2013, pp. 297-303. doi: 10.4236/apm.2013.32042.

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The authors declare no conflicts of interest.


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