Integrability of reductions of the discrete Korteweg-de Vries and potential Korteweg-de Vries equations

Hone, Andrew N.W. and van der Kamp, Peter H. and Quispel, G R W and Tran, D T (2013) Integrability of reductions of the discrete Korteweg-de Vries and potential Korteweg-de Vries equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 469 (2154). ISSN 1471-2946. (doi:https://doi.org/10.1098/rspa.2012.0747) (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)

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Official URL
http://dx.doi.org/10.1098/rspa.2012.0747

Abstract

We study the integrability of mappings obtained as reductions of the discrete Korteweg–de Vries (KdV) equation and of two copies of the discrete potential KdV (pKdV) equation. We show that the mappings corresponding to the discrete KdV equation, which can be derived from the latter, are completely integrable in the Liouville–Arnold sense. The mappings associated with two copies of the pKdV equation are also shown to be integrable.

Item Type: Article
Additional information: number of additional authors: 3; article number: 20120747;
Uncontrolled keywords: partial difference equations, integrable maps, Poisson brackets
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Andrew N W Hone
Date Deposited: 07 Mar 2014 00:05 UTC
Last Modified: 23 Jun 2014 08:39 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/40534 (The current URI for this page, for reference purposes)
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