Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/9351
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dc.contributor.authorAlkan, Kıvılcım-
dc.contributor.authorAnco, Stephen C.-
dc.date.accessioned2020-07-25T22:10:40Z-
dc.date.available2020-07-25T22:10:40Z-
dc.date.issued2016-
dc.identifier.issn1402-9251-
dc.identifier.urihttps://doi.org/10.1080/14029251.2016.1175822-
dc.identifier.urihttps://hdl.handle.net/11147/9351-
dc.description.abstractIntegrable systems are derived from inelastic flows of timelike, spacelike, and null curves in 2-and 3- dimensional Minkowski space. The derivation uses a Lorentzian version of a geometrical moving frame method which is known to yield the modified Korteveg-de Vries (mKdV) equation and the nonlinear Schrodinger (NLS) equation in 2- and 3- dimensional Euclidean space, respectively. In 2-dimensional Minkowski space, time-like/space-like inelastic curve flows are shown to yield the defocusing mKdV equation and its bi-Hamiltonian integrability structure, while inelastic null curve flows are shown to give rise to Burgers' equation and its symmetry integrability structure. In 3-dimensional Minkowski space, the complex defocusing mKdV equation and the NLS equation along with their bi-Hamiltonian integrability structures are obtained from timelike inelastic curve flows, whereas spacelike inelastic curve flows yield an interesting variant of these two integrable equations in which complex numbers are replaced by hyperbolic (split-complex) numbers.en_US
dc.language.isoenen_US
dc.publisherTaylor & Francisen_US
dc.relation.ispartofJournal of Nonlinear Mathematical Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCurve flowen_US
dc.subjectIntegrable systemsen_US
dc.subjectMinkowski planeen_US
dc.subjectMinkowski spaceen_US
dc.titleIntegrable systems from inelastic curve flows in 2-and 3-dimensional Minkowski spaceen_US
dc.typeArticleen_US
dc.institutionauthorAlkan, Kıvılcım-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume23en_US
dc.identifier.issue2en_US
dc.identifier.startpage256en_US
dc.identifier.endpage299en_US
dc.identifier.wosWOS:000379045000008en_US
dc.identifier.scopus2-s2.0-84963740324en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1080/14029251.2016.1175822-
dc.relation.doi10.1080/14029251.2016.1175822en_US
dc.coverage.doi10.1080/14029251.2016.1175822en_US
local.message.claim2022-06-06T16:38:21.015+0300|||rp02971|||submit_approve|||dc_contributor_author|||None*
dc.identifier.wosqualityQ2-
dc.identifier.scopusqualityQ3-
item.grantfulltextopen-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.languageiso639-1en-
item.fulltextWith Fulltext-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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