Darboux transformations with tetrahedral reduction group and related integrable systems
Exactly Solvable and Integrable Systems
2016-10-12 v2
Abstract
In this paper we derive new two-component integrable differential difference and partial difference systems by applying a Lax-Darboux scheme to an operator formed from an -based automorphic Lie algebra. The integrability of the found systems is demonstrated via Lax pairs and generalised symmetries.
Cite
@article{arxiv.1603.03289,
title = {Darboux transformations with tetrahedral reduction group and related integrable systems},
author = {George Berkeley and Alexander V. Mikhailov and Pavlos Xenitidis},
journal= {arXiv preprint arXiv:1603.03289},
year = {2016}
}
Comments
to appear in Journal of Mathematical Physics