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

preprint2011arXivOpen access

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

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Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A6(1)A_6^{(1)}A6(1)​

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