The evolution of electric field in pseudo-Galilean 3-space G13

NE Gürbüz - Optik, 2022 - Elsevier
In this paper, intrinsic derivatives in the pseudo-Galilean normal and pseudo-Galilean
binormal directions with respect to the Frenet frame in the pseudo-Galilean 3-space G 1 3 …

The evolution of the electric field with Frenet frame in Lorentzian Lie groups

NE Gürbüz - Optik, 2021 - Elsevier
In this paper, we introduce three classes of curve evolution associated with the visco
repulsive type generalized nonlinear nonlinear Schrödinger equation and the visco …

Geometry of Hasimoto surfaces in Minkowski 3-space

M Erdoğdu, M Özdemir - Mathematical Physics, Analysis and Geometry, 2014 - Springer
In this paper, we investigate the Hasimoto surfaces in Minkowski 3-space. We discussed the
geometric properties of Hasimoto surfaces in 𝕄 3 M^3 for three cases. The Gaussian and …

The evolution of an electric field, Hasimoto surfaces and three differential formulas with the new frame in R13

NE Gürbüz - Optik, 2023 - Elsevier
In this paper, we introduce the new moving frame {T, u, g} using spherical frame in
Minkowski 3-space R 1 3. Later, we obtain three classes of curve evolution connected with …

The visco modified Heisenberg ferromagnet equation and physical applications

NE Gürbüz, DW Yoon - Optik, 2021 - Elsevier
In this paper, we introduce three classes of a spacelike curve evolution in terms of Frenet
frame for the visco modified Heisenberg ferromagnet (visco MHF) equation in Minkowski 3 …

Differential geometric aspects of nonlinear Schrödinger equation

M Erdoğdu, A Yavuz - … Faculty of Sciences University of Ankara …, 2021 - dergipark.org.tr
The main scope of this paper is to examine the smoke ring (or vortex filament) equation
which can be viewed as a dynamical system on the space curve in E³. The differential …

[PDF][PDF] Total Anholonomies with Bishop 2-Type Frame in R3 1

N Gürbüz - Nonlinear Analysis and Differential Equations, 2019 - m-hikari.com
Total Anholonomies with Bishop 2-Type Frame in R3 1 Introduction Page 1 Nonlinear
Analysis and Differential Equations, Vol. 7, 2019, no. 1, 115 - 124 HIKARI Ltd, www.m-hikari.com …

Geometric phases for three cases of the electric field with new type Bishop frame in

DW Yoon, NE Gürbüz - … Journal of Geometric Methods in Modern …, 2022 - World Scientific
In this paper, we study geometric phases for an electric field in Minkowski 3-space. In
particular, we consider Bishop 2-type frames of a spacelike and a timelike curve in …

On Bäcklund transformation and vortex filament equation for pseudo null curves in Minkowski -space

M Grbović, E Nešović - … Journal of Geometric Methods in Modern …, 2016 - World Scientific
In this paper, we introduce Bäcklund transformation of a pseudo null curve in Minkowski 3-
space as a transformation mapping a pseudo null helix to another pseudo null helix …

Construction of developable surface with geodesic or line of curvature coordinates

N Althibany - Journal of New Theory, 2021 - dergipark.org.tr
In this paper, a developable surface with geodesic or line of curvature coordinates is
constructed in the Euclidean 3-space. A developable surface is coordinated by two families …