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 |

- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV

- Depositors only (login required):