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Paper detail

Ultradiscrete Painlevé VI with Parity Variables

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.

preprint2013arXivOpen access
Kouichi TakemuraTerumitsu Tsutsui
math-phmath.QAmath.MPmath.CA
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Kouichi TakemuraTerumitsu Tsutsui

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