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

• T. Körpinar ^[2] ; R.Cem Demirkol ^[2] ; Z. Körpinar ^[2] ; V. Asil ^[1]
  1. [1] Fırat University

     Fırat University

     Turquía

     
  2. [2] Muş ̧Alparslan University, Turkey
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 67, Nº. 3, 2021, págs. 452-464
• Idioma: inglés
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• Resumen

  • Maxwellian electromagnetism describes the wave features of the light and related subjects. Its original formulation was established 150 yearsago. One of the four Maxwell’s equations is Gauss’s law, which states significant facts regarding magnetic flux through surfaces. It was alsoobserved that optical media provided surface electromagnetism around 60 years ago. This observation leads to improve new techniques onnano-photonics, metamaterials, and plasmonics. The goal of this manuscript is to suggest novel accurate and local conditions for definingmagnetic flux surfaces for the inextensible Heisenberg antiferromagnetic flow in the binormal direction. The theoretical accuracy of themethodology is verified through the evolution of magnetic vector fields and the anti-symmetric Lorentz force field operator. On the otherhand, the numerical accuracy and efficiency are developed in detail by considering the conformable fractional derivative method when thesefields are transformed under the traveling wave hypothesis.