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

dc.authorscopusid 57205496613
dc.authorscopusid 25026129500
dc.contributor.author Huseynov, Aydin
dc.contributor.author Guseinov, Gusein Sh.
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T14:28:45Z
dc.date.available 2024-07-05T14:28:45Z
dc.date.issued 2013
dc.department Atılım University en_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, Turkey en_US
dc.description.abstract We 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.citationcount 5
dc.identifier.doi 10.1016/j.amc.2012.11.072
dc.identifier.endpage 5563 en_US
dc.identifier.issn 0096-3003
dc.identifier.issn 1873-5649
dc.identifier.issue 10 en_US
dc.identifier.scopus 2-s2.0-84872167463
dc.identifier.startpage 5550 en_US
dc.identifier.uri https://doi.org/10.1016/j.amc.2012.11.072
dc.identifier.uri https://hdl.handle.net/20.500.14411/432
dc.identifier.volume 219 en_US
dc.identifier.wos WOS:000313825900058
dc.identifier.wosquality Q1
dc.institutionauthor Hüseyin, Hüseyin Şirin
dc.language.iso en en_US
dc.publisher Elsevier Science inc en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 7
dc.subject Toda lattice en_US
dc.subject Jacobi matrix en_US
dc.subject Difference equation en_US
dc.subject Spectral data en_US
dc.subject Inverse spectral problem en_US
dc.title Solution of the Finite Complex Toda Lattice by the Method of Inverse Spectral Problem en_US
dc.type Article en_US
dc.wos.citedbyCount 5
dspace.entity.type Publication
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