Classification of Real Solutions of the Fourth Painlevé Equation
Classification of Real Solutions of the Fourth Painlevé Equation
Painlevé transcendents are usually considered as complex functions of a complex variable, but, in applications, it is often the real cases that are of interest. We propose a classification of the real solutions of Painlevé IV (or, more precisely, symmetric Painlevé IV) using a sequence of symbols describing their asymptotic …