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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)

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. (Contact us about this Publication)
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: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Pavlos Xenitidis
Date Deposited: 07 Aug 2015 15:13 UTC
Last Modified: 29 May 2019 15:53 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/50069 (The current URI for this page, for reference purposes)
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