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Cosymmetries and Nijenhuis recursion operators for difference equations

Mikhailov, Alexander V., Wang, Jing Ping, Xenitidis, Pavlos (2011) Cosymmetries and Nijenhuis recursion operators for difference equations. Nonlinearity, 24 (7). pp. 2079-2097. ISSN 0951-7715. (doi:10.1088/0951-7715/24/7/009) (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:28314)

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/10.1088/0951-7715/24/7/009

Abstract

In this paper we discuss the concept of cosymmetries and co-recursion operators for difference equations and present a co-recursion operator for the Viallet equation. We also discover a new type of factorization for the recursion operators of difference equations. This factorization enables us to give an elegant proof that the pseudo-difference operator R presented in Mikhailov et al 2011 Theor. Math. Phys. 167 421-43 is a recursion operator for the Viallet equation. Moreover, we show that the operator R is Nijenhuis and thus generates infinitely many commuting local symmetries. The recursion operator R and its factorization into Hamiltonian and symplectic operators have natural applications to Yamilov's discretization of the Krichever-Novikov equation.

Item Type: Article
DOI/Identification number: 10.1088/0951-7715/24/7/009
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders: Department for Business, Energy and Industrial Strategy (https://ror.org/019ya6433)
Depositing User: Jing Ping Wang
Date Deposited: 24 Oct 2011 22:02 UTC
Last Modified: 12 Jul 2022 10:40 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/28314 (The current URI for this page, for reference purposes)
Wang, Jing Ping: https://orcid.org/0000-0002-6874-5629
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