Fu, W (2018) Direct linearisation of the discrete-time two-dimensional Toda lattices. Journal of Physics A: Mathematical and Theoretical, 51 (33). 334001. ISSN 1751-8113
Abstract
The discrete-time two-dimensional Toda lattice of A∞-type is studied within the direct linearisation framework, which allows us to deal with several nonlinear equations in this class simultaneously and to construct more general solutions of these equations. The periodic reductions of this model are also considered, giving rise to the discrete-time two-dimensional Toda lattices of A(1) r−1-type for r ⩾ 2 (which amount to the negative flows of members in the discrete Gel’fand–Dikii hierarchy) and their integrability properties.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article published in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1751-8121/aace36. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | direct linearisation; discrete-time two-dimensional Toda lattice; exact solution; tau function; Lax pair; periodic reduction |
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: | 22 Jun 2018 13:55 |
Last Modified: | 21 Jun 2019 00:39 |
Status: | Published |
Publisher: | IOP Publishing |
Identification Number: | 10.1088/1751-8121/aace36 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:132439 |