1306.4959 (Kouichi Takemura et al.)

Ultradiscrete Painleve VI with parity variables    [PDF]

Kouichi Takemura, Terumitsu Tsutsui

We introduce a ultradiscretization with parity variables of the q-difference Painleve VI equations. We show that ultradiscrete limit of Riccati-type solutions of q-Painleve VI satisfies the ultradiscrete Painleve VI equations with the parity variables, which is valid by using the parity variables. We study some solutions of the ultradiscrete Riccati-type equations and those of ultradiscrete Painleve VI equations.

View original: http://arxiv.org/abs/1306.4959