Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A_6^{(1)}

Abstract

An ultradiscrete system corresponding to the q-Painlevé equation of type A_6^{(1)}, which is a q-difference analogue of the second Painlevé equation, is proposed. Exact solutions with two parameters are constructed for the ultradiscrete system.

Keywords

• Painlevé equations
• ultradiscrete systems