1. Painlevé Property

Problem 1.1.
Given an equation with a Painlevé property, how does one identify which linear system it is? 
Problem 1.2.
Can one solve the above for discrete Painlevé? (If one has a nonlinear difference equation that one suspects may be Painlevé, can one work out which it is?) 
Problem 1.4.
How does one check the Painlevé property?
Remark. [Peter Clarkson] Use the AblowitzRamaniSegur algorithm [M.J. Ablowitz, A. Ramani & H. Segur, "A connection between nonlinear evolution equations and ordinary differential equations of Ptype. I", J. Math. Phys., 21 (1980), 10061015]


Problem 1.5.
In general, is there a classification of determinants that matches that for Painlevé? 
Problem 1.6.
Are the spacing distributions of the exceptional groups related to Painlevé?
Cite this as: AimPL: Painleve equations and their applications, available at http://aimpl.org/painleveapp.