Hone, Andrew N.W., Kuznetsov, Vadim B., Ragnisco, Orlando (2001) Backlund transformations for the sl(2) Gaudin magnet. Journal of Physics A: Mathematical and General, 34 (11). pp. 2477-2490. ISSN 0305-4470. (KAR id:41495)
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| Official URL: http://iopscience.iop.org/0305-4470/34/11/336;jses... |
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Abstract
Elementary, one- and two-point, Backlund transformations are constructed for the generic case of the sl(2) Gaudin magnet. The spectrality property is used to construct these explicitly given, Poisson integrable maps which are time-discretizations of the continuous flows with any Hamiltonian from the spectral curve of the 2x2 Lax matrix.
| Item Type: | Article |
|---|---|
| Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations Q Science > QA Mathematics (inc Computing science) > QA801 Analytic mechanics |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Andrew Hone |
| Date Deposited: | 21 Jun 2014 22:19 UTC |
| Last Modified: | 20 May 2025 11:36 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/41495 (The current URI for this page, for reference purposes) |
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https://orcid.org/0000-0001-9780-7369
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