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: | 05 Nov 2024 10:35 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/50059 (The current URI for this page, for reference purposes) |
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