Motion of general non‐null curve in Minkowski 3‐spaces associated with Landau‐Lifshitz equation

Author(s):  
Alev Kelleci Akbay ◽  
Zühal Küçükarslan Yüzbaşi ◽  
Ebru Cavlak Aslan
Keyword(s):  
2019 ◽  
Vol 60 (8) ◽  
pp. 083512
Author(s):  
Jacky Cresson ◽  
Yasmina Kheloufi ◽  
Khadra Nachi ◽  
Frederic Pierret

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Esra Betul Koc Ozturk

With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic on the parametric surface. It is shown that there is not any cylindrical and developable ruled surface as a parametric surface. Also, some interesting examples are illustrated about these surfaces.


2020 ◽  
Vol 5 (1) ◽  
pp. 237-248
Author(s):  
Muhammad Abubakar Isah ◽  
Mihriban Alyamaç Külahçı

AbstractPseudo null curves were studied by some geometers in both Euclidean and Minkowski spaces, but some special characters of the curve are not considered. In this paper, we study weak AW (k) – type and AW (k) – type pseudo null curve in Minkowski 3-space [E_1^3 . We define helix and slant helix according to Bishop frame in [E_1^3 . Furthermore, the necessary and sufficient conditions for the slant helix and helix in Minkowski 3-space are obtained.


Author(s):  
B.A. Belyaev ◽  
◽  
A.V. Izotov ◽  
An.A. Leksikov ◽  
P.N. Solovev ◽  
...  

The characteristics of a frequency doubler on a resonance microstrip structure with a thin magnetic film have been studied theoretically. The electrodynamic calculation of the structure was performed in the framework of the quasistatic approximation. Nonlinear response of the film magnetization was calculated by taking into account second-order terms in the Landau-Lifshitz equation. The amplitude-frequency characteristic of the microstrip resonator was calculated. It was shown that due to the use of the resonant design, high conversion efficiency of the input signal energy to the output signal at a double frequency was achieved. The optimum values of the external constant magnetic field magnitude and orientation, at which generation of the second harmonic peaked, were determined.


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