Skip to main content
Kent Academic Repository

Second Order Integrability Conditions for Difference Equations: An Integrable Equation

Mikhailov, Alexander V., Xenitidis, Pavlos (2014) Second Order Integrability Conditions for Difference Equations: An Integrable Equation. Letters in Mathematical Physics, 104 (4). pp. 431-450. ISSN 0377-9017. E-ISSN 1573-0530. (doi:10.1007/s11005-013-0668-8) (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:50059)

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://dx.doi.org/10.1007/s11005-013-0668-8

Abstract

Integrability conditions for difference equations admitting a second order formal recursion operator are presented and the derivation of symmetries and canonical conservation laws are discussed. In a generic case, some of these conditions yield nonlocal conservation laws. A new integrable equation satisfying the second order integrability conditions is presented and its integrability is established by the construction of symmetries, conservation laws and a 3 × 3 Lax representation. Finally, via the relation of the symmetries of this equation to the Bogoyavlensky lattice, an integrable asymmetric quad equation and a consistent pair of difference equations are derived.

Item Type: Article
DOI/Identification number: 10.1007/s11005-013-0668-8
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 12:00 UTC
Last Modified: 17 Aug 2022 10:59 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/50059 (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.