# 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)

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## 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 10.3842/SIGMA.2017.051 free open access journal discrete integrable system; Lax pair; symmetry; Bogoyavlensky system Faculties > Sciences > School of Mathematics Statistics and Actuarial ScienceFaculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics Pavlos Xenitidis 06 Jul 2017 11:41 UTC 29 May 2019 19:11 UTC https://kar.kent.ac.uk/id/eprint/62224 (The current URI for this page, for reference purposes)