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A note on logarithms in the Painleve test

Pickering, Andrew (1997) A note on logarithms in the Painleve test. Inverse Problems, 13 (1). pp. 179-183. ISSN 0266-5611. (doi:10.1088/0266-5611/13/1/014) (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:18239)

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/10.1088/0266-5611/13/1/014

Abstract

It is well known that for some partial differential equations the Painleve test needs to be extended by allowing the inclusion of a single logarithmic term in the Painleve expansion. In this brief article we show that this is not the most general extension involving logarithms that can be allowed. Examples show that expansions linear in logarithms remain compatible with complete integrability.

Item Type: Article
DOI/Identification number: 10.1088/0266-5611/13/1/014
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: M.A. Ziai
Date Deposited: 23 Sep 2009 12:39 UTC
Last Modified: 16 Nov 2021 09:56 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/18239 (The current URI for this page, for reference purposes)

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