Exact solutions with two parameters for an ultradiscrete Painlevé equation of type \(A_{6}^{(1)}\). (English) Zbl 1244.33017
Summary: 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.
