Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice

Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice

We recently introduced a class of [...] 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 system...

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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2017-07, Vol.13
Hauptverfasser: Fordy, Allan P., Xenitidis, Pavlos
Format: Artikel
Sprache:eng
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Zusammenfassung:We recently introduced a class of [...] 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. [ProQuest: [...] denotes formulae omitted.]
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2017.051