Symmetries of ZN graded discrete integrable systems. (18th May 2020)

• Record Type: Journal Article
• Authors: Fordy, Allan P; Xenitidis, Pavlos
• Is Part Of: Journal of physics. Volume 53:Number 23(2020)
• Publication Date: 2020-05-18
• Subjects: discrete integrable system -- Lax pair -- symmetry -- Toda lattice; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ab8b36
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We recently introduced a class of Z N graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). We discuss differential–difference equations which then we interpret as symmetries of the discrete systems. In particular, we present nonlocal symmetries which are associated with the 2D Toda lattice.