Hone, Andrew N.W.
(2002)
*
Lattice equations and tau-functions for a coupled Painlevé system.
*
Nonlinearity,
15
(3).
pp. 735-745.
ISSN 0951-7715.
(doi:10.1088/0951-7715/15/3/313)
(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:41498)

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/10.1088/0951-7715/15/3/313 |

## Abstract

We consider a pair of coupled Painlevé equations arising as a scaling similarity reduction of the Hirota-Satsuma system of partial differential equations. Bäcklund transformations constructed in a previous work are presented explicitly as discrete shifts in a two-dimensional parameter space. ?-functions derived from a Hamiltonian description are also presented, which satisfy multilinear lattice equations built from Hirota bilinear operators, and these are used to calculate polynomial ?-functions for rational solutions.

Item Type: | Article |
---|---|

DOI/Identification number: | 10.1088/0951-7715/15/3/313 |

Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA351 Special functions Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations |

Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |

Depositing User: | Andrew Hone |

Date Deposited: | 21 Jun 2014 22:54 UTC |

Last Modified: | 16 Nov 2021 10:16 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/41498 (The current URI for this page, for reference purposes) |

Hone, Andrew N.W.: | https://orcid.org/0000-0001-9780-7369 |

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