Difference Krichever-Novikov operators
Exactly Solvable and Integrable Systems
2014-08-04 v1
Abstract
In this paper we study commuting difference operators of rank two. We introduce an equation on potentials of the difference operator and some additional data. With the help of this equation we find the first examples of commuting difference operators of rank two corresponding to spectral curves of higher genus.
Cite
@article{arxiv.1408.0113,
title = {Difference Krichever-Novikov operators},
author = {Gulnara S. Mauleshova and Andrey E. Mironov},
journal= {arXiv preprint arXiv:1408.0113},
year = {2014}
}
Comments
16 pages