Fu, W and Nijhoff, FW (2017) Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473 (2203). 20160915. ISSN 1364-5021
Abstract
A unified framework is presented for the solution structure of three-dimensional discrete integrable systems, including the lattice AKP, BKP and CKP equations. This is done through the so-called direct linearizing transform, which establishes a general class of integral transforms between solutions. As a particular application, novel soliton-type solutions for the lattice CKP equation are obtained.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 The Author(s). Published by the Royal Society. This is an author produced version of a paper published in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | direct linearizing transform, discrete integrable system, discrete AKP equation, discrete BKP equation, discrete CKP equation, soliton |
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: | 15 Jun 2017 09:12 |
Last Modified: | 31 Jan 2019 15:03 |
Status: | Published |
Publisher: | Royal Society of London |
Identification Number: | 10.1098/rspa.2016.0915 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:117778 |