Holomorphic, rational Lax pairs of a $q$-discrete Painlev\'e VI equation
Exactly Solvable and Integrable Systems
2025-10-07 v1 Mathematical Physics
math.MP
Abstract
We build several matrix Lax pairs of valid even when the two eigenvalues of the residue of the monodromy matrix at infinity are equal. Their elements are rational functions of the dependent variables.
Cite
@article{arxiv.2510.03435,
title = {Holomorphic, rational Lax pairs of a $q$-discrete Painlev\'e VI equation},
author = {Robert Conte},
journal= {arXiv preprint arXiv:2510.03435},
year = {2025}
}
Comments
12 pages, to appear, Funkcialaj ekvacioj