围绕一个立方面体一致的四方程的约化I:加性情况

Proceedings of the American Mathematical Society, Series B Pub Date : 2020-06-26 DOI:10.1090/bproc/96

N. Joshi, N. Nakazono

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引用次数: 3

摘要

在本文中，我们考虑了在我们之前的论文(Joshi和Nakazono, arXiv:1906.06650)中得到的一个新的偏差分方程系统的约简，并证明了它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，我们证明了该系统约简为$A_2^{(1)\ast}$型离散Painleve方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Reduction of quad-equations consistent around a cuboctahedron I: Additive case

In this paper, we consider a reduction of a new system of partial difference equations, which was obtained in our previous paper (Joshi and Nakazono, arXiv:1906.06650) and shown to be consistent around a cuboctahedron. We show that this system reduces to $A_2^{(1)\ast}$-type discrete Painleve equations by considering a periodic reduction of a three-dimensional lattice constructed from overlapping cuboctahedra.

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来源期刊

Proceedings of the American Mathematical Society, Series B

CiteScore

1.60

自引率

0.00%

发文量