Reductions of lattice mKdV to $q$-$\mathrm{P}_{VI}$
Exactly Solvable and Integrable Systems
2015-06-03 v1
Abstract
This Letter presents a reduction of the lattice modified Korteweg-de-Vries equation that gives rise to a -analogue of the sixth Painlev\'e equation. This new approach allows us to give the first ultradiscrete Lax representation of an ultradiscrete analogue of the sixth Painlev\'e equation.
Cite
@article{arxiv.1112.2419,
title = {Reductions of lattice mKdV to $q$-$\mathrm{P}_{VI}$},
author = {Christopher M. Ormerod},
journal= {arXiv preprint arXiv:1112.2419},
year = {2015}
}
Comments
4 pages