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

Mikio Murata

doi:10.3842/SIGMA.2011.059

paper

Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type $A_{6}^{(1)}$

arXiv:1106.3384 · doi:10.3842/SIGMA.2011.059

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.

References in corpus (1)

Hypergeometric solutions to the q-Painlevé equation of type $A_{4}^{(1)}$

Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A6(1)​

Abstract

References in corpus (1)

Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type $A_{6}^{(1)}$