Geodesic
Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type $A_6^{(1)}$
Symmetry, integrability and geometry: methods and applications, Tome 7 (2011) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Painlevé equations; ultradiscrete systems. 
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     author = {Mikio Murata},
     title = {Exact {Solutions} with {Two} {Parameters} for an {Ultradiscrete} {Painlev\'e} {Equation} of {Type} $A_6^{(1)}$},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a58/}
}
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Mikio Murata. Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type $A_6^{(1)}$. Symmetry, integrability and geometry: methods and applications, Tome 7 (2011). http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a58/

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