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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2017
• Hauptverfasser: Fordy, A.P., Xenitidis, P.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2017
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/148563
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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,...