与Backlund变换的2-圈相关的Adler格点方程的解
Solutions of Adler's lattice equation associated with 2-cycles of the Backlund transformation
摘要：
阿德勒格方程的BT由于其多维一致性而内在于方程本身。我们将通过两个BT（具有不同的Backlund参数）的组成与其自身相关的方程的解称为BT的2-循环。在这篇文章中，我们将证明这样的解与秩为2的交换单参数族（即，2-变元），2-值映射。我们将构造这类映射的显式解，从而给出作为BT的2-圈的Adler方程的解。
英文摘要：
The BT of Adler's lattice equation is inherent in the equation itself by virtue of its multidimensional consistency. We refer to a solution of the equation that is related to itself by the composition of two BTs (with different Backlund parameters) as a 2-cycle of the BT. In this article we will show that such solutions are associated with a commuting one-parameter family of rank-2 (i.e., 2-variable), 2-valued mappings. We will construct the explicit solution of the mappings within this family and hence give the solutions of Adler's equation that are 2-cycles of the BT.
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