Approximate solutions for the inextensible Heisenberg antiferromagnetic flow and solitonic magnetic flux surfaces in the normal direction in Minkowski space

T Körpınar, RC Demirkol, Z Körpınar - Optik, 2021 - Elsevier
Motivated by recent researches in magnetic curves and their flows in different types of
geometric manifolds and physical spacetime structures, we compute fractional Lorentz force …

Integrable Kuralay equations: geometry, solutions and generalizations

Z Sagidullayeva, G Nugmanova, R Myrzakulov… - Symmetry, 2022 - mdpi.com
In this paper, we study the Kuralay equations, namely the Kuralay-I equation (K-IE) and the
Kuralay-II equation (K-IIE). The integrable motion of space curves induced by these …

New analytical solutions for the inextensible Heisenberg ferromagnetic flow and solitonic magnetic flux surfaces in the binormal direction

T Körpınar, RC Demirkol, Z Körpınar - Physica Scripta, 2021 - iopscience.iop.org
Maxwellian electromagnetism describes the wave features of the light and related subjects.
Its original formulation was established 150 years ago. One of the four Maxwell's equations …

Magnetic flux surfaces by the fractional Heisenberg antiferromagnetic flow of magnetic b− lines in binormal direction in Minkowski space

T Körpınar, RC Demi̇rkol, V Asi̇l… - Journal of Magnetism and …, 2022 - Elsevier
In this manuscript, we first compute Lorentz equations with magnetic b− lines in binormal
direction in Minkowski space based on novel studies of evolution for magnetic particles …

Integrable (2+ 1)-dimensional spin models with self-consistent potentials

R Myrzakulov, G Mamyrbekova, G Nugmanova… - Symmetry, 2015 - mdpi.com
Integrable spin systems possess interesting geometrical and gauge invariance properties
and have important applications in applied magnetism and nanophysics. They are also …

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 …

Optical hybrid electrical visco ferromagnetic microscale with hybrid electrolytic thruster

T Körpinar, Z Körpinar - Optical and Quantum Electronics, 2022 - Springer
In this manuscript, we describe optical hybrid visco ferromagnetic hybrid BM ϕ T visco,
hybrid BM ϕ B 1 visco, hybrid BM ϕ B 2 visco microscales with hybrid electrolytic thruster …

Integrability, geometry and wave solutions of some Kairat equations

Z Myrzakulova, S Manukure, R Myrzakulov… - arXiv preprint arXiv …, 2023 - arxiv.org
In this paper, we study some Kairat equations. The relation between the motion of space
curves and Kairat equations is established. The geometrical equivalence between the Kairat …

Optical normalized microscale for optical total recursion electromagnetic flux on Heisenberg space

T Körpinar, Z Körpinar - Optical and Quantum Electronics, 2022 - Springer
In this article, we construct a new design for optical spherical Heisenberg total recursion flux
with a normalized microscale in spherical Heisenberg space. Moreover, we demonstrate …

[PDF][PDF] Integrable generalized Heisenberg ferromagnet equations in 1+ 1 dimensions: reductions and gauge equivalence

Z Sagidullayeva, K Yesmakhanova… - arXiv preprint arXiv …, 2022 - academia.edu
The present work addresses the study and characterization of the integrability of some
generalized Heisenberg ferromagnet equations (GHFE) in 1+ 1 dimensions. Lax …