A two dimensional lattice equation as an extension of the Heideman-Hogan recurrence
Mathematical Physics
2018-08-24 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1709.08930,
title = {A two dimensional lattice equation as an extension of the Heideman-Hogan recurrence},
author = {Ryo Kamiya and Masataka Kanki and Takafumi Mase and Tetsuji Tokihiro},
journal= {arXiv preprint arXiv:1709.08930},
year = {2018}
}
Comments
13 pages