Browsing by Author "Korpinar, Talat"

Now showing 1 - 5 of 5

Citation - WoS: 17
Citation - Scopus: 17
Geometric phase for timelike spherical normal magnetic charged particles optical ferromagnetic model
(Taylor & Francis Ltd, 2020) Korpinar, Talat; Baleanu, Dumitru; Korpinar, Zeliha; Inc, Mustafa; Baleanu, Dumitru; 56389
We introduce the theory of optical spherical Heisenberg ferromagnetic spin of timelike spherical normal magnetic flows of particles by the spherical frame in de Sitter space. Also, the concept of timelike spherical normal magnetic particles is investigated, which may have evolution equations. Afterward, we reveal new relationships with some integrability conditions for timelike spherical normal magnetic flows in de-Sitter space. In addition, we obtain total phases for spherical normal magnetic flows. We also acquire perturbed solutions of the nonlinear Schrodinger's equation that governs the propagation of solitons in de-Sitter space S-1(2). Finally, we provide some numerical simulations to supplement the analytical outcomes.
Citation - WoS: 0
Citation - Scopus: 1
Magnetic charged particles of optical spherical antiferromagnetic model with fractional system
(de Gruyter Poland Sp Z O O, 2021) Yao, Shao-Wen; Baleanu, Dumitru; Korpinar, Talat; Baleanu, Dumitru; Korpinar, Zeliha; Almohsen, Bandar; Inc, Mustafa; 56389
In this article, we first consider approach of optical spherical magnetic antiferromagnetic model for spherical magnetic flows of Upsilon-magnetic particle with spherical de-Sitter frame in the de-Sitter space S-1(2). Hence, we establish new relationship between magnetic total phases and spherical timelike flows in de-Sitter space S-1(2). In other words, the applied geometric characterization for the optical magnetic spherical antiferromagnetic spin is performed. Moreover, this approach is very useful to analyze some geometrical and physical classifications belonging to Upsilon-particle. Besides, solutions of fractional optical systems are recognized for submitted geometrical designs. Geometrical presentations for fractional solu-tions are obtained to interpret the model. These obtained results represent that operation is a compatible and sig-nificant application to restore optical solutions of some fractional systems. Components of models are described by physical assertions with solutions. Additionally, we get solutions of optical fractional flow equations with designs of our results in de-Sitter space S-1(2).
Citation - WoS: 0
Citation - Scopus: 0
New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space H-0(2)
(Wiley, 2023) Inc, Mustafa; Baleanu, Dumitru; Korpinar, Talat; Korpinar, Zeliha; Baleanu, Dumitru; Cem Demirkol, Ridvan; 56389
In this paper, a new evolution of polarized light ray by optical fiber in the pseudohyperbolic space H-0(2) is examined. Firstly, the characterization of the parallel transportation law associated with the geometric pseudohyperbolic phase of the light ray is given. Later, a principle nature of electric and magnetic field along with the light ray in the pseudohyperbolic space H-0(2) is defined by the geometric invariants. Finally, optical solutions of nonlinear pseudohyperbolic Schrodinger's equations governing the propagation of electromagnetic fields are successfully derived by using the traveling wave hypothesis approach.
Citation - WoS: 3
Citation - Scopus: 3
On Fermi-Walker transformation for timelike flows in spacetime
(Elsevier, 2021) Korpinar, Talat; Baleanu, Dumitru; Baleanu, Dumitru; Korpinar, Zeliha; Inc, Mustafa; 56389
In this manuscript, we firstly suggest different type for Fermi-Walker transportations along with flow lines of a non-vanishing vector field in Minkowski spacetime. Moreover, we construct the evolution equations of Frenet fields by Fermi-Walker derivative in Minkowski spacetime. Also, Fermi Walker parallelism is obtained the evolution equations of Frenet fields. Finally, we obtain some new results for flows by this new derivative in Minkowski spacetime. (C) 2021 Elsevier B.V. All rights reserved.
Citation - WoS: 17
Citation - Scopus: 20
Quasi binormal Schrodinger evolution of wave polarizataon field of light wath repulsive type
(Iop Publishing Ltd, 2021) Korpinar, Talat; Baleanu, Dumitru; Demirkol, Ridvan Cem; Khalil, Eied M.; Korpinar, Zeliha; Baleanu, Dumitru; Inc, Mustafa; 56389
In this paper, we study the evolution of the wave polarization vector in the tangent direction of the curved path. This path is assumed to be the trajectory of the propagated light beam. The polarization state of the wave is described by the unit complex transverse field component by eliminating the longitudinal field component. We obtain new relationship between the geometric phase and the parallel transportation law of the wave polarization vector of the evolving light beam in the tangent direction of the curved path. Moreover, we present a new geometric interpretation of the quasi binormal evolution of the wave polarization vector via the nonlinear Schrodinger equation of repulsive type in the tangent direction. Finally, we find a space-time nonlocal NLS reduction for equation system.