Mikhailov, AV and Xenitidis, P (2013) Second order integrability conditions for difference equations. An integrable equation.
Abstract
Integrability conditions for difference equations admitting a second order formal recursion operator are presented and the derivation of symmetries and canonical conservation laws is discussed. In the generic case, nonlocal conservation laws are also generated. A new integrable equation satis- fying the second order integrability conditions is presented and its integrability is established by the construction of symmetries, conservation laws and a 3×3 Lax representation. Finally, the relation of the symmetries of this equation to a generalized Bogoyavlensky lattice and a new integrable lattice are derived.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2013. Published in arXiv and 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: | 28 Mar 2014 12:28 |
Last Modified: | 21 Feb 2024 11:51 |
Status: | Published |
Identification Number: | 10.1007/s11005-013-0668-8 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:76123 |