A two-dimensional lattice equation as an extension of the Heideman-Hogan recurrence

A two-dimensional lattice equation as an extension of the Heideman-Hogan recurrence
复制标题

作为 Heideman-Hogan 递归式扩展的二维晶格方程

DOI：
10.1088/1751-8121/aaad47
复制
发表时间：
2018
期刊：
J. Phys. A: Math. Theor.
影响因子：
--
通讯作者：
and Tetsuji Tokihiro
and Tetsuji Tokihiro
中科院分区：
--
文献类型：
--
作者：
Ryo Kamiya;Masataka Kanki;Takafumi Mase;and Tetsuji Tokihiro

文献摘要

相似文献

我们考虑所谓的线性化映射的二维扩张。特别是，我们从Heideman-Hogan递归，这是已知的线性Somos样递归之一，并介绍其二维扩展。我们提出的二维格点方程在两个方向上都是可线性化的，并且具有Laurent性质和互质性。此外，它的约化产生了一个广义的Heideman-Hogan递归族。还讨论了与Dana Scott递归有关的二维可线性化格点方程的高阶例子。
We consider a two dimensional extension of the so-called linearizable mappings. In particular, we start from the Heideman–Hogan recurrence, which is known as one of the linearizable Somos-like recurrences, and introduce one of its two dimensional extensions. The two dimensional lattice equation we present is linearizable in both directions, and has the Laurent and the coprimeness properties. Moreover, its reduction produces a generalized family of the Heideman–Hogan recurrence. Higher order examples of two dimensional linearizable lattice equations related to the Dana Scott recurrence are also discussed.