Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/3356
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dc.contributor.advisorPashaev, Oktay K.en
dc.contributor.authorAkıncı, Figen-
dc.date.accessioned2014-07-22T13:51:22Z
dc.date.available2014-07-22T13:51:22Z
dc.date.issued2004en
dc.identifier.urihttp://hdl.handle.net/11147/3356
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2004en
dc.descriptionIncludes bibliographical references (leaves: 75-79)en
dc.descriptionText in English; Abstract: Turkish and Englishen
dc.descriptionviii, 82 leavesen
dc.description.abstractIn this thesis we study relations between the motion of curves in classical differential geometry and nonlinear soliton equations. For the planar motion of curves we found hierarchy of MKdV (Modied Korteweg-de Vries) equations generated by corresponding recursion operator. By integration of natural equations of curves, we found soliton curves and their dynamical characteristics. Under negative power recursive reduction we construct Sine-Gordon hierarchy and corresponding soliton curve. For three dimensional motion of curves relation with NLS (Nonlinear Schrodinger) equation and complex MKdV are constructed.en
dc.language.isoenen_US
dc.publisherIzmir Institute of Technologyen
dc.publisherIzmir Institute of Technologyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject.lccQA643 .A31 2004en
dc.subject.lcshCurvesen
dc.subject.lcshGeometry, Differentialen
dc.titleGeometry of moving curves and soliton equationsen_US
dc.typeMaster Thesisen_US
dc.authoridTR202924
dc.institutionauthorAkıncı, Figen-
dc.departmentIzmir Institute of Technology. Mathematicsen
dc.departmentIzmir Institute of Technology. Mathematicsen_US
dc.relation.publicationcategoryTezen_US
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item.cerifentitytypePublications-
item.languageiso639-1en-
item.openairetypeMaster Thesis-
item.grantfulltextopen-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
Appears in Collections:Master Degree / Yüksek Lisans Tezleri
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