Search Results - "Yuzbasi, Zuhal Kucukarslan"
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Motion of general non‐null curve in Minkowski 3‐spaces associated with Landau‐Lifshitz equation
Published in Mathematical methods in the applied sciences (15-09-2024)“…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
Published 30-07-2019“…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
Published 31-07-2019“…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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Elastic null curve flows, nonlinear C-integrable systems, and geometric realization of Cole-Hopf transformations
Published in Journal of nonlinear mathematical physics (02-07-2020)“…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
Published in AIMS mathematics (01-01-2021)“…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
Published in Mathematics (Basel) (29-10-2018)“…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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Characterizations of Normal and Binormal Surfaces in G3
Published 30-07-2019“…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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A new approach to the connections between moving curves and a family of complex KdV type systems
Published in Mathematical methods in the applied sciences (15-03-2023)“…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
Published in ITM Web of Conferences (2018)“…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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Journal Article Conference Proceeding -
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On a Surface Pencil with a Common New Type of Special Suface Curve in Galilean Space G3
Published 23-11-2016“…In this study, we investigate a new type of a surface curve called a new D-type special curve. Also, we show that this special curve is more generally than a…”
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Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group
Published in Cumhuriyet Science Journal (30-03-2022)“…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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A note on inextensible flows of partially and pseudo null curves in E_1^4
Published 12-03-2013“…In this paper, we study inextensible flows of partially null and pseudo null curves in E_1^4. We give neccessary and sufficent conditions for inextensible…”
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Geometric Methodology for Analyzing Timelike Curve Flows in Minkowski Space
Published in Resultate der Mathematik (01-06-2024)“…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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Hasimoto Maps for Nonlinear Schrödinger Equations in Minkowski Space
Published in Journal of nonlinear mathematical physics (01-12-2022)“…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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Evolution of space-like curves and special time-like ruled surfaces in the Minkowski space
Published in Indian journal of physics (01-03-2022)“…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
Published in Open Physics (01-01-2016)“…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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Elastic strips along isotropic curves in complex 3-spaces
Published in Turkish journal of mathematics (01-05-2024)Get full text
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Compact Totally Real Minimal Submanifolds in a Bochner-Kaehler Manifold
Published in Universal journal of mathematics and applications (20-12-2018)“…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
Published in Journal of interdisciplinary mathematics (19-05-2022)“…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
Published in Open Physics (01-01-2016)“…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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