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

Symmetry Integrability and Geometry-Methods and Applications

article

Allan P. Fordy¹  Pavlos Xenitidis² 

[1] School of Mathematics, University of Leeds;School of Mathematics, Statistics and Actuarial Science, University of Kent

关键词: discrete integrable system;    Lax pair;    symmetry;    Bogoyavlensky system;   

DOI  :  10.3842/SIGMA.2017.051

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown