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On recursion operators

Sanders, Jan A., Wang, Jing Ping (2001) On recursion operators. Physica D: Nonlinear Phenomena, 149 (1-2). pp. 1-10. ISSN 0167-2789. (doi:10.1016/S0167-2789(00)00188-3) (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:702)

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/10.1016/S0167-2789(00)00188-3

Abstract

We observe that application of a recursion operator of the Burgers equation does not produce the expected symmetries. This is explained by the incorrect assumption that D-x(-1), D-x = 1. We then proceed to give a method to compute the symmetries using the recursion operator as a first-order approximation. (C) 2001 Elsevier Science B.V. All rights reserved.

Item Type: Article
DOI/Identification number: 10.1016/S0167-2789(00)00188-3
Uncontrolled keywords: recursion operator; cylindrical Korteweg-de Vries equation (cKdV); symmetries; cosymmetries
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: Dutch Research Council (https://ror.org/04jsz6e67)
Depositing User: Judith Broom
Date Deposited: 19 Dec 2007 18:26 UTC
Last Modified: 12 Jul 2022 10:38 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/702 (The current URI for this page, for reference purposes)

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