论文标题
$ Q $ - 矩阵第六次Parelevé系统
A $q$-analogue of the matrix sixth Painlevé system
论文作者
论文摘要
我们通过某个紫红色线性$ q $ difference System的连接性变形系统得出了矩阵第六次Parelevé系统的$ Q $ -Analogue。在指定线性$ q $ -Difference系统时，我们从光谱类型的角度利用了线性差分系统与线性$ q $ - 差异系统之间的对应关系。因此，获得的非线性$ q $ - 差方程的系统也可以被视为Jimbo-Sakai的$ Q $ -P $ -P _ {\ Mathrm {vi}} $的非阿布尔类似物。
We derive a $q$-analogue of the matrix sixth Painlevé system via 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 $q$-$P_{\mathrm{VI}}$.
