Second-order second-degree Painlevé equations related to Painlevé IV,V,VI equations
Journal of Physics A: Mathematical and General
Institute of Physics Publishing Ltd.
2471 - 2490
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The algorithmic method introduced by Fokas and Ablowitz to investigate the transformation properties of Painlevé equations is used to obtain one-to-one correspondence between the Painlevé IV, V and VI equations and the second-order second-degree equations of Painlevé type.