A Class of Special Solutions for the Ultradiscrete Painlevé II Equation

Abstract

A class of special solutions are constructed in an intuitive way for the ultradiscrete analog of $q$-Painlevé II ($q$-PII) equation. The solutions are classified into four groups depending on the function-type and the system parameter.

References in corpus (1)

• Hypergeometric solutions to the q-Painlevé equation of type $A_4^{(1)}$

Cited by in corpus (1)

• Ultradiscrete limit of Bessel function type solutions of the Painlevé III equation