Second-order second-degree Painlevé equations related to Painlevé IV,V,VI equations

A Sakka, U Mugan
1998 Journal of Physics A: Mathematical and General  
The algorithmic method introduced by Fokas and Ablowitz to investigate the transformation properties of Painleve equations is used to obtain one-to-one correspondence´ between the Painleve IV, V and VI equations and the second-order second-degree equations of´ Painleve type.´
doi:10.1088/0305-4470/31/10/020 fatcat:3px2kmsjdzgmvo25tpciw5ymcq