论文标题
晶格方程的松弛矩阵，以满足一致性为中心的立方体
Lax matrices for lattice equations which satisfy consistency-around-a-face-centered-cube
论文作者
论文摘要
最近发现了一种用于晶格方程的多维一致性的集成性条件的公式，称为一致性呈现为中心的立方体（CAFCC），该条件适用于在顶点上定义的方程式及其在方形晶格上定义的四个最近的邻居。本文介绍了一种用于满足CAFCC的方程式的LAX矩阵的方法。该方法为此类方程提供了新颖的LAX矩阵，其中包括先前已知的离散TODA-或LAPLACE类型的方程式，以及仅在CAFCC背景下出现的较新方程。
There is a recently discovered formulation of the multidimensional consistency integrability condition for lattice equations, called consistency-around-a-face-centered-cube(CAFCC), which is applicable to equations defined on a vertex and its four nearest neighbours on the square lattice. This paper introduces a method of deriving Lax matrices for the equations which satisfy CAFCC. This method gives novel Lax matrices for such equations, which include previously known equations of discrete Toda-, or Laplace-type, as well as newer equations which have only appeared in the context of CAFCC.
