Geodesic
Ultradiscrete Painlevé VI with Parity Variables
Symmetry, integrability and geometry: methods and applications, Tome 9 (2013) Cet article a éte moissonné depuis la source Math-Net.Ru

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We introduce a ultradiscretization with parity variables of the $q$-difference Painlevé VI system of equations. We show that ultradiscrete limit of Riccati-type solutions of $q$-Painlevé VI satisfies the ultradiscrete Painlevé VI system of equations with the parity variables, which is valid by using the parity variables. We study some solutions of the ultradiscrete Riccati-type equation and those of ultradiscrete Painlevé VI equation.
Mots-clés : Painlevé equation; ultradiscrete; numerical solutions. 
@article{SIGMA_2013_9_a69,
     author = {Kouichi Takemura and Terumitsu Tsutsui},
     title = {Ultradiscrete {Painlev\'e} {VI} with {Parity} {Variables}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2013},
     volume = {9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a69/}
}
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Kouichi Takemura; Terumitsu Tsutsui. Ultradiscrete Painlevé VI with Parity Variables. Symmetry, integrability and geometry: methods and applications, Tome 9 (2013). http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a69/

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