自对偶系统及其对称性与Bogoyavlensky格的约化
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice
摘要：
最近，我们引入了一类${\mathbb{Z}}_N$分次离散拉克斯对，并研究了相应的离散可积系统（格方程）.特别地，我们引入了一个子类，我们称之为“自对偶”。在本文中，我们讨论这些系统的连续对称性，它们的约化和后者的Bogoyavlensky方程的关系。
英文摘要：
We recently introduced a class of ${\mathbb{Z}}_N$ graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduced a subclass, which we called "self-dual". In this paper we discuss the continuous symmetries of these systems, their reductions and the relation of the latter to the Bogoyavlensky equation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
