A $3 \times 3$ Lax Form for the $q$-Painlev\'e Equation of Type $E_6$
Exactly Solvable and Integrable Systems
2023-11-21 v3
Abstract
For the -Painlev\'e equation with affine Weyl group symmetry of type , a matrix Lax form and a second order scalar lax form were known. We give a new matrix Lax form and a third order scalar equation related to it. Continuous limit is also discussed.
Cite
@article{arxiv.2211.16706,
title = {A $3 \times 3$ Lax Form for the $q$-Painlev\'e Equation of Type $E_6$},
author = {Kanam Park},
journal= {arXiv preprint arXiv:2211.16706},
year = {2023}
}