Fu, W and Nijhoff, FW (2018) Linear integral equations, infinite matrices, and soliton hierarchies. Journal of Mathematical Physics, 59 (7). 071101. ISSN 0022-2488
Abstract
A systematic framework is presented for the construction of hierarchies of soliton equations. This is realised by considering scalar linear integral equations and their representations in terms of infinite matrices, which give rise to all (2 + 1)- and (1 + 1)-dimensional soliton hierarchies associated with scalar differential spectral problems. The integrability characteristics for the obtained soliton hierarchies, including Miura-type transforms, τ-functions, Lax pairs, and soliton solutions, are also derived within this framework.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an author produced version of a paper published in Journal of Mathematical Physics. Uploaded in accordance with the publisher's self-archiving policy. |
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: | 03 Jul 2018 13:59 |
Last Modified: | 17 Aug 2018 06:05 |
Status: | Published |
Publisher: | AIP Publishing |
Identification Number: | 10.1063/1.5046684 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:132827 |