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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 051, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.051
(Mi sigma1251)
 

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
Full-text PDF (299 kB) Citations (2)
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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.
Funding agency Grant number
Engineering and Physical Sciences Research Council EP/I038675/1
PX acknowledges support from the EPSRC grant Structure of partial difference equations with continuous symmetries and conservation laws, EP/I038675/1.
Received: May 1, 2017; in final form June 26, 2017; Published online July 6, 2017
Bibliographic databases:
Document Type: Article
Language: English
Citation: Allan P. Fordy, Pavlos Xenitidis, “Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice”, SIGMA, 13 (2017), 051, 10 pp.
Citation in format AMSBIB
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
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    Abstract page:149
    Full-text PDF :45
    References:32
     
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