A q-analogue of the matrix sixth Painlev? system
A q-analogue of the matrix sixth Painlev? system
复制标题
矩阵第六 Painlev 的 q 类似物？
DOI：
10.1088/1751-8121/abc18d
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Kawakami Hiroshi
中科院分区：
文献类型：
--
作者：
Kawakami Hiroshi;Kawakami Hiroshi
从一类Fuchsian线性q-差分系统的保连变形出发，导出了矩阵第六painlev<s:1>系统的q-类似。在确定线性q差系统时，我们从谱型的角度利用了线性微分系统与线性q差系统的对应关系。由此得到的非线性q差分方程组也可以看作是Jimbo-Sakai q- pvi的非阿贝尔模拟。
We derive a q-analogue of the matrix sixth Painlevé system from a connection-preserving deformation of a certain Fuchsian linear q-difference system. In specifying the linear q-difference system, we utilize the correspondence between linear differential systems and linear q-difference systems from the viewpoint of the spectral type. The system of non-linear q-difference equations thus obtained can also be regarded as a non-abelian analogue of Jimbo–Sakai's q–P VI.