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 |
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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 |
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| DOI/Identification number: | 10.3842/SIGMA.2017.051 |
| Additional information: | free open access journal |
| Uncontrolled keywords: | discrete integrable system; Lax pair; symmetry; Bogoyavlensky system |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Pavlos Xenitidis |
| Date Deposited: | 06 Jul 2017 11:41 UTC |
| Last Modified: | 22 Jul 2025 08:58 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/62224 (The current URI for this page, for reference purposes) |
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