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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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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: 16 Feb 2021 13:46 UTC
Resource URI: (The current URI for this page, for reference purposes)
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