论文标题
$ 3 \ times 3 $ lax表格,用于$ q $-painlevé等方程$ e_6 $
A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$
论文作者
论文摘要
对于$ q $-painlevé方程,带有类型$ e_6^{(1)} $的仿射Weyl组对称性,$ 2 \ times 2 $矩阵lax表单和二阶订单标量lax表单已知。我们给出了新的$ 3 \ times 3 $矩阵lax表单和与之相关的第三阶标量方程。还讨论了连续限制。
For the $q$-Painlevé equation with affine Weyl group symmetry of type $E_6^{(1)}$, a $2\times 2$ matrix Lax form and a second order scalar lax form were known. We give a new $3\times 3$ matrix Lax form and a third order scalar equation related to it. Continuous limit is also discussed.