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dc.contributor.authorAlkan, Kivilcim
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.issn1776-0852
dc.identifier.urihttps://doi.org/10.1080/14029251.2016.1175822
dc.identifier.urihttps://hdl.handle.net/11147/9351
dc.descriptionWOS: 000379045000008en_US
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.isoengen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.isversionof10.1080/14029251.2016.1175822en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectcurve flowen_US
dc.subjectintegrable systemen_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.relation.journalJournal Of Nonlinear Mathematical Physicsen_US
dc.contributor.departmentIzmir Institute of Technologyen_US
dc.identifier.volume23en_US
dc.identifier.issue2en_US
dc.identifier.startpage256en_US
dc.identifier.endpage299en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.cont.department-temp[Alkan, Kivilcim] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey; [Anco, Stephen C.] Brock Univ, Dept Math & Stat, St Catharines, ON L2S 3A1, Canadaen_US


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