Lattice equations arising from discrete Painlev\'e systems. II. $A_4^{(1)}$ case
Mathematical Physics
2016-12-21 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper, we construct two lattices from the functions of -surface -Painlev\'e equations, on which quad-equations of ABS type appear. Moreover, using the reduced hypercube structure, we obtain the Lax pairs of the -surface -Painlev\'e equations.
Cite
@article{arxiv.1603.09414,
title = {Lattice equations arising from discrete Painlev\'e systems. II. $A_4^{(1)}$ case},
author = {Nalini Joshi and Nobutaka Nakazono and Yang Shi},
journal= {arXiv preprint arXiv:1603.09414},
year = {2016}
}
Comments
32 pages, 6 figures