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Darboux transformations and the symmetric fourth Painlevé equation

Sen, A., Hone, Andrew N.W., Clarkson, Peter (2005) Darboux transformations and the symmetric fourth Painlevé equation. Journal of Physics A: Mathematical and General, 38 (45). pp. 9751-9764. ISSN 0305-4470. (doi:10.1088/0305-4470/38/45/003) (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:3250)

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/10.1088/0305-4470/38/45/003

Abstract

This paper is concerned with the group symmetries of the fourth Painleve equation P-IV, a second-order nonlinear ordinary differential equation. It is well known that the parameter space of P-IV admits the action of the extended affine Weyl group A(2)((1)). As shown by Noumi and Yamada, the action of A(2)((1)) as Backlund transformations of P-IV provides a derivation of its symmetric form SP4. The dynamical System SP4 is also equivalent to the isomonodromic deformation of an associated three-by-three matrix linear system (Lax pair). The action of the generators of A(2)((1)) on this Lax pair is derived using the Darboux transformation for an associated third-order operator

Item Type: Article
DOI/Identification number: 10.1088/0305-4470/38/45/003
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: Andrew Hone
Date Deposited: 06 Jun 2008 11:39 UTC
Last Modified: 16 Nov 2021 09:41 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/3250 (The current URI for this page, for reference purposes)
Hone, Andrew N.W.: https://orcid.org/0000-0001-9780-7369
Clarkson, Peter: https://orcid.org/0000-0002-8777-5284
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