Xu, X, Cao, C and Nijhoff, FW (2021) Algebro-geometric integration of the Q1 lattice equation via nonlinear integrable symplectic maps. Nonlinearity, 34 (5). 2897. ISSN 0951-7715
Abstract
The Q1 lattice equation, a member in the Adler–Bobenko–Suris list of 3D consistent lattices, is investigated. By using the multidimensional consistency, a novel Lax pair for Q1 equation is given, which can be nonlinearized to produce integrable symplectic maps. Consequently, a Riemann theta function expression for the discrete potential is derived with the help of the Baker–Akhiezer functions. This expression leads to the algebro-geometric integration of the Q1 lattice equation, based on the commutativity of discrete phase flows generated from the iteration of integrable symplectic maps.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2021 IOP Publishing Ltd & London Mathematical Society. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. |
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 Jan 2021 16:11 |
Last Modified: | 25 Jun 2023 22:33 |
Status: | Published |
Publisher: | IOP Publishing |
Identification Number: | 10.1088/1361-6544/abddca |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:170244 |