Exact Solutions with Two Parameters for an Ultradiscrete Painlev\'e Equation of Type A₆⁽¹⁾
classification
🌊 nlin.SI
math.CA
keywords
equationpainlevultradiscreteexactparameterssolutionssystemtype
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An ultradiscrete system corresponding to the $q$-Painlev\'e equation of type $A_6^{(1)}$, which is a $q$-difference analogue of the second Painlev\'e equation, is proposed. Exact solutions with two parameters are constructed for the ultradiscrete system.
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