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.

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Cited by in corpus (3)

• Ultradiscrete Painlevé VI with Parity Variables
• From Polygons to Ultradiscrete Painlevé Equations
• On two-parameter solutions of simultaneous ultradiscrete Painleve II equation with parity variables