Darboux transformations with tetrahedral reduction group and related integrable systems

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 ${\mathfrak{sl}}_3(\mathbb{C})$-based automorphic Lie algebra. The integrability of the found systems is demonstrated via Lax pairs and generalised symmetries.

to appear in Journal of Mathematical Physics

References in corpus (3)

• Integrability and Symmetries of Difference Equations: the Adler-Bobenko-Suris Case
• Towards the theory of integrable hyperbolic equations of third order
• Automorphic Lie Algebras with dihedral symmetry

Cited by in corpus (2)

• On consistent systems of difference equations
• Discrete integrable systems, Darboux transformations, and Yang-Baxter maps