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This article is cited in 2 scientific papers (total in 2 papers)
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice
Allan P. Fordya, Pavlos Xenitidisb a School of Mathematics, University of Leeds, Leeds LS2 9JT, UK
b School of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury CT2 7FS, UK
Abstract:
We recently introduced a class of ${\mathbb{Z}}_N$ 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.
Keywords:
discrete integrable system; Lax pair; symmetry; Bogoyavlensky system.
Received: May 1, 2017; in final form June 26, 2017; Published online July 6, 2017
Citation:
Allan P. Fordy, Pavlos Xenitidis, “Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice”, SIGMA, 13 (2017), 051, 10 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1251 https://www.mathnet.ru/eng/sigma/v13/p51
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Abstract page: | 149 | Full-text PDF : | 45 | References: | 32 |
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