Solution of the Finite Complex Toda Lattice by the Method of Inverse Spectral Problem

dc.authorscopusid57205496613
dc.authorscopusid25026129500
dc.contributor.authorHuseynov, Aydin
dc.contributor.authorHüseyin, Hüseyin Şirin
dc.contributor.authorGuseinov, Gusein Sh.
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T14:28:45Z
dc.date.available2024-07-05T14:28:45Z
dc.date.issued2013
dc.departmentAtılım Universityen_US
dc.department-temp[Huseynov, Aydin] Azerbaijan Natl Acad Sci, Inst Math & Mech, AZ-1141 Baku, Azerbaijan; [Guseinov, Gusein Sh.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkeyen_US
dc.description.abstractWe show that the finite Toda lattice with complex-valued initial data can be integrated by the method of inverse spectral problem. For this goal spectral data for complex Jacobi matrices are introduced and an inverse spectral problem with respect to the spectral data is solved. The time evolution of the spectral data for the Jacobi matrix associated with the solution of the Toda lattice is computed. Using the solution of the inverse spectral problem with respect to the time-dependent spectral data we reconstruct the time-dependent Jacobi matrix and hence the desired solution of the finite complex Toda lattice. (C) 2012 Elsevier Inc. All rights reserved.en_US
dc.identifier.citation5
dc.identifier.doi10.1016/j.amc.2012.11.072
dc.identifier.endpage5563en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-84872167463
dc.identifier.startpage5550en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2012.11.072
dc.identifier.urihttps://hdl.handle.net/20.500.14411/432
dc.identifier.volume219en_US
dc.identifier.wosWOS:000313825900058
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherElsevier Science incen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectToda latticeen_US
dc.subjectJacobi matrixen_US
dc.subjectDifference equationen_US
dc.subjectSpectral dataen_US
dc.subjectInverse spectral problemen_US
dc.titleSolution of the Finite Complex Toda Lattice by the Method of Inverse Spectral Problemen_US
dc.typeArticleen_US
dspace.entity.typePublication
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relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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