The present paper presents evolution of spherical indicatrix of a space curve according to the quasi frame in Minkowski 3-space. Some geometric properties such as fundamental forms and curvatures of the surfaces constructed by evolutions are obtained.
The present paper presents evolutions of spherical indicatrix of a space curve according to the quasi-frame. Then, some geometric properties of these surfaces constructed by evolutions have been obtained. At the end, illustrative examples of the spherical images of a space curve have been presented.
In this paper, we study Bishop equations of parallel curves according to Bishop frame in Euclidean 3-space. We obtain a new characterization of parallel curve by using Bishop frame in E³.
The present paper deals with the introduction of Backlund transformations by extended Harry-Dym flow and with the aid of the extended version of the Riccati mapping method is obtained new solutions. Then, we give the Backlund transformation of the Schrodinger flow and obtain its the Bonnet surface. In finally, results obtained with the mathematical model are evaluated by applying to mathematica.
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