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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)

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://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: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Pavlos Xenitidis
Date Deposited: 07 Aug 2015 12:00 UTC
Last Modified: 29 May 2019 15:53 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/50059 (The current URI for this page, for reference purposes)
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