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arXiv · 1306.4959

Ultradiscrete Painlev\'e VI with Parity Variables

Kouichi Takemura·Terumitsu Tsutsui
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Abstract

We introduce a ultradiscretization with parity variables of the $q$-difference Painlev\'e VI system of equations. We show that ultradiscrete limit of Riccati-type solutions of $q$-Painlev\'e VI satisfies the ultradiscrete Painlev\'e 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 Painlev\'e VI equation.

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BibTeXRIS

Kouichi Takemura, Terumitsu Tsutsui. 2013-06-20. Ultradiscrete Painlev\'e VI with Parity Variables. https://doi.org/10.3842/sigma.2013.070

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