Darboux transformations with tetrahedral reduction group and related integrable systems

摘要

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 sl(3)(C)-based automorphic Lie algebra. The integrability of the found systems is demonstrated via Lax pairs and generalised symmetries. Published by AIP Publishing.