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

Fordy, Allan P., Xenitidis, Pavlos (2017) Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice. Symmetry, Integrability and Geometry: Methods and Applications, 13 . ISSN 1815-0659. (doi:10.3842/SIGMA.2017.051) (KAR id:62224)

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Official URL: https://doi.org/10.3842/SIGMA.2017.051

Abstract

We recently introduced a class of Z_? 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, their reductions and the relation of the latter to the Bogoyavlensky equation.

Item Type:	Article
DOI/Identification number:	10.3842/SIGMA.2017.051
Additional information:	free open access journal
Uncontrolled keywords:	discrete integrable system; Lax pair; symmetry; Bogoyavlensky system
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Pavlos Xenitidis
Date Deposited:	06 Jul 2017 11:41 UTC
Last Modified:	05 Nov 2024 10:56 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/62224 (The current URI for this page, for reference purposes)

University of Kent Author Information

Xenitidis, Pavlos.

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