Geodesic
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice
Symmetry, integrability and geometry: methods and applications, Tome 13 (2017) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Allan P. Fordy and Pavlos Xenitidis},
     title = {Self-Dual {Systems,} their {Symmetries} and {Reductions} to the {Bogoyavlensky} {Lattice}},
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}
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Allan P. Fordy; Pavlos Xenitidis. Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice. Symmetry, integrability and geometry: methods and applications, Tome 13 (2017). http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a50/

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