Skip to main content
Kent Academic Repository

Symmetries and integrability of discrete equations defined on a black–white lattice

Xenitidis, Pavlos, Papageorgiou, V G (2009) Symmetries and integrability of discrete equations defined on a black–white lattice. Journal of Physics A: Mathematical and Theoretical, 42 (45). p. 454025. ISSN 1751-8113. (doi:10.1088/1751-8113/42/45/454025) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:50069)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL:
http://doi.org/10.1088/1751-8113/42/45/454025

Abstract

We study the deformations of the H equations, presented recently by Adler, Bobenko and Suris, which are naturally defined on a black–white lattice. For each one of these equations, two different three-leg forms are constructed, leading to two different discrete Toda-type equations. Their multidimensional consistency leads to Bäcklund transformations relating different members of this class as well as to Lax pairs. Their symmetry analysis is presented yielding infinite hierarchies of generalized symmetries.

Item Type: Article
DOI/Identification number: 10.1088/1751-8113/42/45/454025
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Pavlos Xenitidis
Date Deposited: 07 Aug 2015 15:13 UTC
Last Modified: 16 Nov 2021 10:20 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/50069 (The current URI for this page, for reference purposes)

University of Kent Author Information

Xenitidis, Pavlos.

Creator's ORCID:
CReDIT Contributor Roles:
  • Depositors only (login required):

Total unique views for this document in KAR since July 2020. For more details click on the image.