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A Class of Special Solutions for the Ultradiscrete Painlevé II Equation
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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A class of special solutions are constructed in an intuitive way for the ultradiscrete analog of $q$-Painlevé II ($q$-PII) equation. The solutions are classified into four groups depending on the function-type and the system parameter.
Keywords: ultradiscretization; Painlevé equation; Airy equation; $q$-difference equation. 
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     author = {Shin Isojima and Junkichi Satsuma},
     title = {A {Class} of {Special} {Solutions} for the {Ultradiscrete} {Painlev\'e~II} {Equation}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a73/}
}
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Shin Isojima; Junkichi Satsuma. A Class of Special Solutions for the Ultradiscrete Painlevé II Equation. Symmetry, integrability and geometry: methods and applications, Tome 7 (2011). http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a73/

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