Reduction of quad-equations consistent around a cuboctahedron I: Additive case
Reduction of quad-equations consistent around a cuboctahedron I: Additive case
复制标题
围绕立方八面体 I 一致的四元方程的约简：加法情况
DOI：
10.1090/bproc/96
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
Nakazono Nobutaka
中科院分区：
文献类型：
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作者：
Joshi Nalini;Nakazono Nobutaka
在本文中，我们考虑了一个新的偏差分方程系统的约简，该系统在我们之前的论文中得到[在一个立方体上的四方程分类，arXiv: 1906: 06650, 2019]，并证明了在立方体周围是一致的。通过考虑由重叠的三面体构成的三维晶格的周期约简，我们证明了该系统可以约简为离散的painlev<e:1>方程。参考文献
In this paper, we consider a reduction of a new system of partial difference equations, which was obtained in our previous paper [Classification of quad-equations on a cuboctahedron, arXiv: 1906: 06650, 2019] and shown to be consistent around a cuboctahedron. We show that this system reduces to-type discrete Painlevé equations by considering a periodic reduction of a three-dimensional lattice constructed from overlapping cuboctahedra. References