Search Results - "Yüzbaşı, Zühal Küçükarslan"

Elastic null curve flows, nonlinear C-integrable systems, and geometric realization of Cole-Hopf transformations by Küçükarslan Yüzbaşı, Zühal, Anco, Stephen C.

“…Elastic (stretching) flows of null curves are studied in three-dimensional Minkowski space. As a main tool, a natural type of moving frame for null curves is…”
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On geometry of isophote curves in Galilean space by Yüzbașı, Zuhal Küçükarslan, Won Yoon, Dae

“…In this paper, we introduce isophote curves on surfaces in Galilean 3-space. Apart from the general concept of isophotes, we split our studies into two cases…”
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Inextensible Flows of Curves on Lightlike Surfaces by Küçükarslan Yüzbaşı, Zühal, Yoon, Dae

“…In this paper, we study inextensible flows of a curve on a lightlike surface in Minkowski three-space and give a necessary and sufficient condition for…”
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A new approach to the connections between moving curves and a family of complex KdV type systems by Yüzbaşı, Zühal Küçükarslan

“…In this paper, we give a new approach to the existence of a connection between the geometry of moving curves and the soliton equation for a family of complex…”
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Exact Solutions with Lie Symmetry Analysis for Nano-Ionic Currents along Microtubules by Yüzbaşı, Zühal Küçükarslan, Aslan, Ebru Cavlak, Inc, Mustafa

“…In this work, the Lie symmetry analysis is tested by its applications to nano-solitons of ionic waves propagation along microtubules in living cells and…”
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Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group by KUCUKARSLAN YUZBASİ, Zuhal

“…Our purpose in this research is to use an alternative moving frame in the 3-dimensional Lie group to construct the problem of how to characterize a surface…”
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Geometric Methodology for Analyzing Timelike Curve Flows in Minkowski Space by Bektaş, Mehmet, Yoon, Dae Won, Yüzbaşı, Zühal Küçükarslan

“…The present study introduces an innovative link between integrable equations and the motion of timelike curves within a three-dimensional Minkowski space. This…”
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Evolution of space-like curves and special time-like ruled surfaces in the Minkowski space by Yoon, Dae Won, Küçükarslan Yüzbaşı, Zühal, Cavlak Aslan, Ebru

“…In this paper, we get the time evolution equations of the curvature and the torsion of a space-like curve in the three-dimensional Minkowski space. Also, we…”
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On the Construction of a Surface Family with Common Geodesic in Galilean Space G3 by Yüzbaşı, Zühal Küçükarslan, Bektaş, Mehmet

“…In this paper, we investigate the parametric representation for a family of surfaces through a given geodesic curve . We provide necessary and sufficient…”
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Hasimoto Maps for Nonlinear Schrödinger Equations in Minkowski Space by Gürbüz, Nevin Ertug, Yüzbası, Zühal Küçükarslan, Yoon, Dae Won

“…In this paper, we study the vortex filament flow for timelike and spacelike curves in Minkowski 3-space. The vortex filament flow equations of the timelike and…”
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Compact Totally Real Minimal Submanifolds in a Bochner-Kaehler Manifold by KÜÇÜKARSLAN YÜZBAŞI, Zühal, BEKTAŞ, Mehmet, YILDIRIM YILMAZ, Münevver

“…In this paper, we establish the following results: Let $M$ be an $% m-$dimensional compact totally real minimal submanifold immersed in a locally symmetric…”
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On a surface pencil with a common new type of special surface curve in Galilean space G 3 by Yılmaz, Münevver Yıdırım, Yüzbaşı, Zühal Küçükarslan

“…In this study, we investigate a new type of surface curve called a D-type special curve. We also show that this special curve is more general than a geodesic…”
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On the Construction of a Surface Family with Common Geodesic in Galilean Space G 3 by Yüzbaşı, Zühal Küçükarslan, Bektaş, Mehmet

“…In this paper, we investigate the parametric representation for a family of surfaces through a given geodesic curve G 3 . We provide necessary and sufficient…”
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Elastic strips along isotropic curves in complex 3-spaces by YOON, DAE WON, KÜÇÜKARSLAN YÜZBAŞI, ZÜHAL

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Elastic null curve flows, nonlinear $C$-integrable systems, and geometric realization of Cole-Hopf transformations by Yüzbaşı, Zühal Küçükarslan, Anco, Stephen C

“…J. Nonlin. Math. Phys. 27 (2020), 357-392 Elastic (stretching) flows of null curves are studied in three-dimensional Minkowski space. As a main tool, a natural…”
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An Approach for Hypersurface Family with Common Geodesic Curve in the 4D Galilean Space G4 by Yüzbaşı, Zühal Küçükarslan, Yoon, Dae Won

“…Journal of the Korean Society of Mathematical Education Series B-pure and Applied Mathematics, (2018) In the present study, we derive the problem of…”
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Motion of general non‐null curve in Minkowski 3‐spaces associated with Landau‐Lifshitz equation by Kelleci Akbay, Alev, Yüzbaşi, Zühal Küçükarslan, Cavlak Aslan, Ebru

“…In that paper, firstly, we get two additional different non‐null space curve evolutions in Minkowski 3‐space by considering Landau–Lifshitz (LL) equation where…”
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On Geometry of Isophote Curves in Galilean space by Yuzbasi, Zuhal Kucukarslan, Yoon, Dae Won

“…AIMS Mathematics, 2021, Volume 6, Issue 1: 66-76 In this paper, we introduce isophote curves on surfaces in Galilean 3-space. Apart from the general concept of…”
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Evolution of Spacelike Curves and Special Timelike Ruled Surfaces in the Minkowski Space by Yoon, Dae Won, Yuzbasi, Zuhal Kucukarslan, Aslan, Ebru Cavlak

“…Indian Journal of Physics 2021 In this paper, we get the time evolution equations of the curvature and torsion of the evolving spacelike curves in the…”
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Characterizations of Normal and Binormal Surfaces in G3 by Yoon, Dae Won, Yuzbasi, Zuhal Kucukarslan

“…In this paper, our aim is to give surfaces in the Galilean 3-space G3 with the property that there exist four geodesics through each point such that every…”
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