Three anholonomy densities for three formulations with anholonomic coordinates with hybrid frame in R13

NE Gürbüz, R Myrzakulov, Z Myrzakulova - Optik, 2022 - Elsevier
In this paper, we present three formulations associated with the modified repulsive type
nonlinear Schrödinger NLS− equation in the h− lines and b− lines directions with respect to …

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 …

The evolution of an electric field with respect to the type-1 PAF and the PAFORS frames in R13

NE Gürbüz - Optik, 2022 - Elsevier
In this paper, after presenting the type-1 PAF and PAFORS frames in the Minkowski 3-space,
the evolution of an electric field associated with the nonlinear heat system and the nonlinear …

The pseudo-null geometric phase along optical fiber

NE Gürbüz - International Journal of Geometric Methods in Modern …, 2021 - World Scientific
In this study, a pseudo-null space curve in Minkowski 3-space is used to describe an optical
fiber that is injected into monochromatic linear polarized light. The direction of the electric …

The null geometric phase along optical fiber for anholonomic coordinates

NE Gürbüz - Optik, 2022 - Elsevier
In this paper we study the change an electric field in the normal and binormal directions with
respect to the null Cartan frame via anholonomic coordinates in Minkowski 3-space. We …

The variation of the electric field along optic fiber for null Cartan and pseudo-null frames

N Ertuğ Gürbüz - International Journal of Geometric Methods in …, 2021 - World Scientific
In this paper, we introduce new frame and new transformation associated with combined
Korteweg–de Vries–modified Korteweg–de Vries (KdV–mKdV) equation, the mKdV and the …

Three geometric phases with the visco-Da Rios equation for the hybrid frame in R13

NE Gürbüz - Optik, 2021 - Elsevier
In this paper, three classes of curve evolution associated with the viscous modified nonlinear
Schrödinger equation in Minkowski 3-space are investigated. Following that, the hybrid …

[PDF][PDF] The variation of electric field with respect to Darboux triad in Euclidean 3-space

NE Gürbüz - Mathematical Combinatorics, 2021 - mathcombin.com
In this paper three electric fields are described via Darboux triad components in Euclidean 3-
space. Later variations of three cases of electric field with respect to Darboux triad are …

Magnetic helicity and normal electromagnetic vortex filament flows under the influence of Lorentz force in MHD

T Körpinar, RC Demirkol, Z Körpinar - International Journal of …, 2021 - World Scientific
In this paper, we attempt to introduce a new approach to determine the magnetic helicity and
energy dissipation of the normal electromagnetic vortex filaments in magnetohydrodynamics …