Mikhailov, AV, Novikov, VS and Wang, JP (2007) On classification of integrable nonevolutionary equations. Studies in Applied Mathematics, 118 (4). 419 - 457. ISSN 0022-2526
Abstract
We study partial differential equations of second order (in time) that possess a hierarchy of infinitely many higher symmetries. The famous Boussinesq equation is a member of this class after the extension of the differential polynomial ring. We develop the perturbative symmetry approach in symbolic representation. Applying it, we classify the homogeneous integrable equations of fourth and sixth order (in the space derivative) equations, as well as we have found three new tenth-order integrable equations. To prove the integrability we provide the corresponding bi-Hamiltonian structures and recursion operators.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | Symmetry Approach; Symmetries; Integrable Equations; Multi-Hamiltonian Structure; Recursion Operator |
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 12:38 |
Last Modified: | 02 May 2015 03:44 |
Published Version: | http://dx.doi.org/10.1111/j.1467-9590.2007.00376.x |
Status: | Published |
Publisher: | Wiley-Blackwell |
Identification Number: | 10.1111/j.1467-9590.2007.00376.x |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:76128 |