Differential geometric aspects of nonlinear Schrödinger equation

dc.contributor.authorErdoğdu, Melek
dc.contributor.authorYavuz, Ayşe
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-30T08:24:09Z
dc.date.available2021-11-30T08:24:09Z
dc.date.issued2021-06-30
dc.description.abstractThe main scope of this paper is to examine the smoke ring (or vortex filament) equation which can be viewed as a dynamical system on the space curve in E³. The differential geometric properties the soliton surface accociated with Nonlinear Schrödinger (NLS) equation, which is called NLS surface or Hasimoto surface, are investigated by using Darboux frame. Moreover, Gaussian and mean curvature of Hasimoto surface are found in terms of Darboux curvatures k_{n}, k_{g} and τ_{g.}. Then, we give a different proof of that the s- parameter curves of NLS surface are the geodesics of the soliton surface. As applications we examine two NLS surfaces with Darboux Frame.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage521tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage510tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.724634tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76500
dc.identifier.volume70tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.724634tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectSmoke ring equationtr_TR
dc.subjectVortex Filament equationtr_TR
dc.subjectNLS surfacetr_TR
dc.titleDifferential geometric aspects of nonlinear Schrödinger equationtr_TR
dc.typeArticletr_TR

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