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New analytical solutions for the inextensible Heisenberg ferromagnetic flow and solitonic magnetic flux surfaces in the binormal direction
Physica Scripta ( IF 2.9 ) Pub Date : 2021-05-27 , DOI: 10.1088/1402-4896/ac0274
Talat Krpınar 1 , Rıdvan Cem Demirkol 1 , Zeliha Krpınar 2
Affiliation  

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 is Gauss’s law, which states significant facts regarding magnetic flux through surfaces. It was also observed that optical media provides surface electromagnetism around 60 years ago. This observation leads to improve new techniques on nano-photonics, metamaterials, and plasmonics. The goal of this manuscript is to suggest novel accurate and local conditions for defining magnetic flux surfaces for the inextensible Heisenberg ferromagnetic flow in the binormal direction. The theoretical accuracy of the methodology is verified through the evolution of magnetic vector fields and the anti-symmetric Lorentz force field operator. On the other hand, the numerical accuracy and efficiency is developed in detail by considering the conformable fractional derivative method when these fields are transformed under the traveling wave hypothesis.



中文翻译:

副法向不可扩展的海森堡铁磁流和孤子磁通量表面的新解析解

麦克斯韦电磁学描述了光和相关学科的波动特征。它的原始配方是在 150 年前建立的。四个麦克斯韦方程之一是高斯定律,它陈述了关于通过表面的磁通量的重要事实。还观察到光学介质在大约 60 年前提供表面电磁。这一观察导致改进纳米光子学、超材料和等离子体的新技术。这份手稿的目的是提出新的准确和局部条件,用于定义双法向不可扩展的海森堡铁磁流的磁通量表面。通过磁矢量场的演化和反对称洛伦兹力场算子验证了该方法的理论准确性。另一方面,

更新日期:2021-05-27
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