A Lax pair for the complete QRT mapping
Exactly Solvable and Integrable Systems
2013-05-06 v2
Abstract
QRT maps are translations on smooth biquadratic curves, also known as elliptic curves. Special cases of QRT maps are known to arise as compatibility conditions for an associated system of linear equations, known as a Lax pair. Here, we provide Lax pairs explicitly for the whole 18-parameter family of QRT maps.
Cite
@article{arxiv.1304.4351,
title = {A Lax pair for the complete QRT mapping},
author = {P. Howes and N. Joshi and P. Kassotakis},
journal= {arXiv preprint arXiv:1304.4351},
year = {2013}
}
Comments
This paper has been withdrawn by the author