Mikhailov, A. V.,
Wang, Jing Ping,
Xenitidis, Pavlos
(2011)
*
Recursion operators, conservation laws, and integrability conditions for difference equations.
*
Theoretical and Mathematical Physics,
167
(1).
pp. 421-443.
ISSN 0040-5779.
(doi:10.1007/s11232-011-0033-y)
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Official URL http://doi.org/10.1007/s11232-011-0033-y |

## Abstract

We attempt to propose an algebraic approach to the theory of integrable difference equations. We define the concept of a recursion operator for difference equations and show that it generates an infinite sequence of symmetries and canonical conservation laws for a difference equation. As in the case of partial differential equations, these canonical densities can serve as integrability conditions for difference equations. We obtain the recursion operators for the Viallet equation and all the Adler-Bobenko-Suris equations.

Item Type: | Article |
---|---|

DOI/Identification number: | 10.1007/s11232-011-0033-y |

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 15:27 UTC |

Last Modified: | 29 May 2019 15:54 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/50075 (The current URI for this page, for reference purposes) |

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