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BI-HAMILTONIAN REPRESENTATION, SYMMETRIES AND INTEGRALS OF MIXED HEAVENLY AND HUSAIN SYSTEMS

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dc.contributor.authorSheftel, M. B.
dc.contributor.authorYazici, D.
dc.date.accessioned2026-06-27T12:52:42Z
dc.date.issued2010
dc.description.abstractIn the recent paper by one of the authors (MBS) and A. A. Malykh on the classification of second-order PDEs with four independent variables that possess partner symmetries [1], mixed heavenly equation and Husain equation appear as closely related canonical equations admitting partner symmetries. Here for the mixed heavenly equation and Husain equation, formulated in a two-component form, we present recursion operators, Lax pairs of Olver-Ibragimov-Shabat type and discover their Lagrangians, symplectic and bi-Hamiltonian structure. We obtain all point and second-order symmetries, integrals and bi-Hamiltonian representations of these systems and their symmetry flows together with infinite hierarchies of nonlocal higher symmetries.en
dc.description.sponsorshipBogazici University [07B301]
dc.description.urihttps://doi.org/10.1142/s1402925110001021
dc.identifier.doi10.1142/s1402925110001021
dc.identifier.eissn1776-0852
dc.identifier.endpage484
dc.identifier.issn1402-9251
dc.identifier.issue4
dc.identifier.startpage453
dc.identifier.urihttps://hdl.handle.net/20.500.14981/47767
dc.identifier.volume17
dc.identifier.wos000287095000005
dc.language.isoeng
dc.publisherTAYLOR & FRANCIS LTD
dc.relation.ispartofJOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
dc.rightsopenAccess
dc.subjectSymmetries
dc.subjectintegrals
dc.subjectNoether theorem
dc.subjectLax pair
dc.subjectsymplectic two-form
dc.subjectbi-Hamiltonian representation
dc.subjectPARTNER SYMMETRIES
dc.subjectEQUATIONS
dc.subjectMODEL
dc.subjectMathematics
dc.subjectPhysics
dc.titleBI-HAMILTONIAN REPRESENTATION, SYMMETRIES AND INTEGRALS OF MIXED HEAVENLY AND HUSAIN SYSTEMS
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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