Lombardo, S and Mikhailov, AV (2004) Reductions of integrable equations: dihedral group. Journal of Physics A: Mathematical and General, 37 (31). 7727 - 7742. ISSN 0305-4470
Abstract
We discuss the algebraic and analytic structure of rational Lax operators. With algebraic reductions of Lax equations we associate a reduction group - a group of automorphisms of the corresponding infinite-dimensional Lie algebra. We present a complete study of dihedral reductions for sl (2, ℂ) Lax operators with simple poles and corresponding integrable equations. In the last section we give three examples of dihedral reductions for sl (N, ℂ) Lax operators.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2004, Institute of Physics. This is an author produced version of a paper published in the Journal of Physics A: Mathematical and General. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Nonlinear Evolution Equations; Prolongation Structures |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 14 Aug 2013 09:11 |
Last Modified: | 29 Mar 2018 17:08 |
Published Version: | http://dx.doi.org/10.1088/0305-4470/37/31/006 |
Status: | Published |
Publisher: | Institute of Physics |
Identification Number: | 10.1088/0305-4470/37/31/006 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:76129 |