Bilinear equations and q-discrete Painlevé equations satisfied by variables and coefficients in cluster algebras
Bilinear equations and q-discrete Painlevé equations satisfied by variables and coefficients in cluster algebras
复制标题
簇代数中变量和系数满足的双线性方程和 q 离散 Painlevé 方程
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Naoto Okubo
中科院分区：
文献类型：
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作者：
Naoto Okubo
我们构造了簇代数，它的变量和系数满足离散mKdV方程、离散户田方程和其它可积双线性方程，其中一些可导致q-离散Painlevé方程.这些簇代数是从具有无穷多个顶点或具有突变周期性质的箭图中得到的。我们还将表明，一个适当的变换颤动对应于减少的差分方程。
We construct cluster algebras the variables and coefficients of which satisfy the discrete mKdV equation, the discrete Toda equation and other integrable bilinear equations, several of which lead to q-discrete Painlevé equations. These cluster algebras are obtained from quivers with an infinite number of vertices or with the mutation-period property. We will also show that a suitable transformation of quivers corresponds to a reduction of the difference equation.
影响因子：
0.8
作者：
A. Fordy;Robert J. Marsh
通讯作者：
A. Fordy;Robert J. Marsh