标题： 六阶Painlevé方程的新邻接关系来自截断 显示英文标题

标题： New contiguity relation of the sixth Painlevé equation from a truncation

摘要： 对于主Painlevé方程P6(u)，我们定义了一种一致的方法，该方法改编自偏微分方程的Weiss截断，使我们能够获得Okamoto的一次次数有理变换。 实现了两个新特性以达到此结果。 第一个是解$u$的导数与Riccati伪势之间的射影变换。 第二个是对Fokas和Ablowitz关于此有理变换结构的猜想的改进。 然后我们构建了P6的连续性关系，这产生了一个新的二阶非自治离散方程。 显示英文摘要

摘要： For the master Painlev\'e equation P6(u), we define a consistent method, adapted from the Weiss truncation for partial differential equations, which allows us to obtain the first degree birational transformation of Okamoto. Two new features are implemented to achieve this result. The first one is the homography between the derivative of the solution $u$ and a Riccati pseudopotential. The second one is an improvement of a conjecture by Fokas and Ablowitz on the structure of this birational transformation. We then build the contiguity relation of P6, which yields one new second order nonautonomous discrete equation.