On Darboux integrable semi-discrete systems of exponential type
Exactly Solvable and Integrable Systems
2017-12-12 v1
Abstract
In the present paper we consider a discretization of hyperbolic systems of exponential type. We proved that, in the case of systems, the resulting semi-discrete system is Darboux integrable only if it corresponds to a Cartan matrix of a semi-simple Lie algebra.
Cite
@article{arxiv.1712.03788,
title = {On Darboux integrable semi-discrete systems of exponential type},
author = {Kostyantyn Zheltukhin and Ergun Bilen},
journal= {arXiv preprint arXiv:1712.03788},
year = {2017}
}
Comments
12 pages