Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• ISSN: 1815-0659
• Main Authors: Fordy, A.P., Xenitidis, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148563
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice / A.P. Fordy, P. Xenitidis // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 6 назв. — англ.

We recently introduced a class of ZN graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduced a subclass, which we called ''self-dual''. In this paper we discuss the continuous symmetries of these systems,...