Fractional solutions for the inextensible Heisenberg antiferromagnetic fow and solitonic magnetic flux surfaces in the binormal direction

Körpınar, Talat; Demi̇rkol, Rıdvan Cem; Körpınar, Zeliha; Ası̇l, Vedat

doi:10.31349/revmexfis.67.452

Cited by 4 publications

(2 citation statements)

References 48 publications

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“…Also, the extended direct algebraic method is used to find new soliton solutions of the fractional (4.1) equations in de Sitter space. Many partial differential equations are proceeding in mathematical physics and engineering modeling applications [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46].…”

Section: Discussionmentioning

confidence: 99%

Optical electromagnetic radiation density spherical geometric electric and magnetic phase by spherical antiferromagnetic model with fractional system

Khalil

̈orpinar

2021

Rev. Mex. Fís.

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In this article, we firstly consider a new theory of spherical electromagnetic radiation density with antiferromagnetic spin of timelike spherical t -magnetic flows by the spherical Sitter frame in de Sitter space. Thus, we construct the new relationship between the new type electric and magnetic phases and spherical timelike magnetic flows de Sitter space 2.1 S Also, we give the applied geometric characterization for spherical electromagnetic radiation density. This concept also boosts to discover some physical and geometrical characterizations belonging to the particle. Moreover, the solution of the fractional-order systems are considered for the submitted mathematical designs. Graphical demonstrations for fractional solutions are presented to expression of the approach. The collected results illustrate that mechanism is relevant and decisive approach to recover numerical solutions of our new fractional equations. Components of performed equations are demonstrated by using approximately explicit values of physical assertions on received solutions. Finally, we constructthat electromagnetic fluid propagation along fractional optical fiber indicates an fascinating family of fractional evolution equation with diverse physical and applied geometric modelling in de Sitter space 2 1 S .

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Section: Discussionmentioning

confidence: 99%

Optical electromagnetic radiation density spherical geometric electric and magnetic phase by spherical antiferromagnetic model with fractional system

Khalil

̈orpinar

2021

Rev. Mex. Fís.

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“…Recently, Equations ( 1) and ( 2) have attracted the attention of a great number of scientists. So there exist many valuable papers in the literature approaching these equations in different views [24][25][26][27][28][29][30][31][32][33][34].…”

Section: Fermi-walker Magnetic and Electric Vector Fieldsmentioning

confidence: 99%

Fermi–Walker magnetic curves and Killing trajectories in 3D Riemannian manifolds

Demirkol

2023

Math Methods in App Sciences

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This paper deals with obtaining some new characterizations on the dynamics of the moving charged particle acting under particular forces in the three‐dimensional space. In this perspective, we have enlarged the research of magnetic curves and associated Killing magnetic fields by adding the Fermi–Walker parallelism and derivative. By doing this, we investigate the Hall–Killing–Fermi effect on the charged particle, then we define new types of Fermi–Walker magnetic curves corresponding to the Killing magnetic field. We carefully construct the Fermi–Walker character of the magnetic field to prove the parallelism of the magnetic trajectories and uniformly accelerated motion of the charged particle. It leads to defining a very special family of magnetic fields, that is, Fermi–Walker uniform magnetic fields. Moreover, we use the Killing feature of the magnetic field to show that the Frenet–Serret scalars and quasislopes of the magnetic curves must meet particular differential equations that lead to obtaining some geometric interpretations of the magnetic trajectories. Last but not the least, both of these two characters allow us to define Killing and Fermi–Walker electric vector fields influencing the motion of the charged particle experiencing the Lorentz force in the three‐dimensional setting.

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

Gürbüz

2021

Optik

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Fractional solutions for the inextensible Heisenberg antiferromagnetic fow and solitonic magnetic flux surfaces in the binormal direction

Cited by 4 publications

References 48 publications

Optical electromagnetic radiation density spherical geometric electric and magnetic phase by spherical antiferromagnetic model with fractional system

Optical electromagnetic radiation density spherical geometric electric and magnetic phase by spherical antiferromagnetic model with fractional system

Fermi–Walker magnetic curves and Killing trajectories in 3D Riemannian manifolds

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

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