Geometry of moving curves and soliton equations
tarafından
Akıncı, Figen.
Başlık
:
Geometry of moving curves and soliton equations
Yazar
:
Akıncı, Figen.
Yazar Ek Girişi
:
Akıncı, Figen.
Yayın Bilgileri
:
[s.l.]: [s.n.], 2004.
Fiziksel Tanımlama
:
viii, 82 leaves.: ill.+ 1 computer laser optical disc.
Özet
:
In 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.
Konu Başlığı
:
Curves
Geometry, Differential
Yazar Ek Girişi
:
Pashaev, Oktay K.
Tüzel Kişi Ek Girişi
:
İzmir Institute of Technology. Mathematics.
Tek Biçim Eser Adı
:
Thesis (Master)--İzmir Institute of Technology: Mathematics.
İzmir Institute of Technology: Mathematics--Thesis (Master).
Elektronik Erişim
:
Library | Materyal Türü | Demirbaş Numarası | Yer Numarası | Durumu/İade Tarihi |
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IYTE Library | Tez | T000454 | QA643.A31 2004 C.1 | Tez Koleksiyonu |