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. (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) |

- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV

- Depositors only (login required):