Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14365/1549
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dc.contributor.authorSzablikowski, Blazej M.-
dc.contributor.authorBlaszak, Maciej-
dc.contributor.authorSilindir, Burcu-
dc.date.accessioned2023-06-16T14:18:43Z-
dc.date.available2023-06-16T14:18:43Z-
dc.date.issued2009-
dc.identifier.issn0022-2488-
dc.identifier.urihttps://doi.org/10.1063/1.3158860-
dc.identifier.urihttps://hdl.handle.net/20.500.14365/1549-
dc.description.abstractA construction of the bi-Hamiltonian structures for integrable systems on regular time scales is presented. The trace functional on an algebra of delta-pseudodifferential operators, valid on an arbitrary regular time scale, is introduced. The linear Poisson tensors and the related Hamiltonians are derived. The quadratic Poisson tensors are given by the use of the recursion operators of the Lax hierarchies. The theory is illustrated by Delta-differential counterparts of Ablowitz-Kaup-Newell-Segur and Kaup-Broer hierarchies.en_US
dc.description.sponsorshipScientific and Technical Research Council of Turkey; MNiSW research Grant [N NN202 404933]; European Community [PIEF-GA-2008-221624]en_US
dc.description.sponsorshipThis work was partially supported by the Scientific and Technical Research Council of Turkey and MNiSW research Grant No. N NN202 404933. B. S. was supported by the European Community under a Marie Curie Intra-European Fellowship, Contract No. PIEF-GA-2008-221624.en_US
dc.language.isoenen_US
dc.publisherAmer Inst Physicsen_US
dc.relation.ispartofJournal of Mathematıcal Physıcsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectfunctional analysisen_US
dc.subjectPoisson equationen_US
dc.subjectrecursive functionsen_US
dc.subjecttensorsen_US
dc.subjectOperatorsen_US
dc.subjectAlgebraen_US
dc.titleBi-Hamiltonian structures for integrable systems on regular time scalesen_US
dc.typeArticleen_US
dc.identifier.doi10.1063/1.3158860-
dc.identifier.scopus2-s2.0-68749108374en_US
dc.departmentİzmir Ekonomi Üniversitesien_US
dc.authoridSzablikowski, Blazej/0000-0002-4001-6328-
dc.authorscopusid6505848093-
dc.authorscopusid22991114400-
dc.authorscopusid9845952500-
dc.identifier.volume50en_US
dc.identifier.issue7en_US
dc.identifier.wosWOS:000268614500021en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ3-
dc.identifier.wosqualityQ3-
item.grantfulltextopen-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextWith Fulltext-
item.languageiso639-1en-
crisitem.author.dept02.02. Mathematics-
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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