On consistent systems of difference equations

Xenitidis, Pavlos (2019) On consistent systems of difference equations. Journal of Physics A: Mathematical and Theoretical. ISSN 1751-8113 (Accepted for Publication)

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We consider overdetermined systems of difference equations for a single function u which are consistent, and propose a general framework for their analysis. The integrability of such systems is defined as the existence of higher order symmetries in both lattice directions and various examples are presented. Two hierarchies of consistent systems are constructed, the first one using lattice paths and the second one as a deformation of the former. These hierarchies are integrable and their symmetries are related via Miura transformations to the Bogoyavlensky and the discrete Sawada-Kotera lattices, respectively.

Item Type: Article
Additional Information and Comments: This is the author's version of an article that has been accepted for publication in the Journal of Physics A: Mathematical and Theoretical. The final, published version is available from https://iopscience.iop.org/article/10.1088/1751-8121/ab48b0/pdf
Faculty / Department: Faculty of Science > Mathematics and Computer Science
Depositing User: Pavlos Xenitidis
Date Deposited: 02 Oct 2019 08:47
Last Modified: 02 Oct 2019 08:47
URI: https://hira.hope.ac.uk/id/eprint/2943

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