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: | 05 Nov 2024 10:25 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/41498 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Hone, Andrew N.W..
| Creator's ORCID: |
 https://orcid.org/0000-0001-9780-7369
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