Fordy, AP orcid.org/0000-0002-2523-0262 and Xenitidis, P (2017) Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 13. 51.
Abstract
We recently introduced a class of Z(N) 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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Authors 2017. This is an open access article under the terms of the Creative Commons Attribution-ShareAlike License. |
Keywords: | discrete integrable system; Lax pair; symmetry; Bogoyavlensky system |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 26 Jul 2017 13:43 |
Last Modified: | 05 Oct 2017 16:35 |
Status: | Published |
Publisher: | National Academy of Science of Ukraine |
Identification Number: | 10.3842/SIGMA.2017.051 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:119483 |