Ultradiscrete Painlevé VI with Parity Variables

Symmetry Integrability and Geometry-Methods and Applications

article

Kouichi Takemura¹  Terumitsu Tsutsui¹ 

[1] Department of Mathematics, Faculty of Science and Technology, Chuo University

关键词: Painlev´e equation;    ultradiscrete;    numerical solutions;   

DOI  :  10.3842/SIGMA.2013.070

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown