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Wave Propagation And Magnetic Ordering In Ferromagnetic Materials

Author

Listed:
  • MOSTAFA M. A. KHATER

    (School of Medical Informatics and Engineering, Xuzhou Medical University, 209 Tongshan Road, 221004 Xuzhou, Jiangsu Province, P. R. China2Department of Basic Science, Obour High Institute for Engineering and Technology, 11828 Cairo, Egypt)

  • PENG REN

    (School of Medical Informatics and Engineering, Xuzhou Medical University, 209 Tongshan Road, 221004 Xuzhou, Jiangsu Province, P. R. China)

Abstract

The soliton wave solutions to the (2+1)-dimensional Heisenberg ferromagnetic spin chain (ℋℱ𠒮𠒞) problem are explored in this paper. The (2+1)-dimensional ℋℱ𠒮𠒞 equation describes the nonlinear spin dynamics of Heisenberg ferromagnetic spin chains in the semiclassical limit. This formula is based on the spin-chain of the Heisenberg field. The bilinear and anisotropic interactions are accounted for in this equation. Even ferromagnetism may be explained by this paradigm, since it describes the propagation of waves inside a substance (the magnetic ordering in ferromagnetic materials). To construct a new soliton wave solution and validate its correctness, modern analytical and approximative schemes are utilized such as the Khater II and Adomian decomposition methods. Numerous interpretations for solitary waves are shown by various plots such as polar plots, contour plots, two-dimensional plots, and three-dimensional plots. The study’s novelty may be appreciated by contrasting our findings with those presented in previously published research publications. Most of the many computational simulations used are performed with the aid of a program called Mathematica 13.1.

Suggested Citation

  • Mostafa M. A. Khater & Peng Ren, 2023. "Wave Propagation And Magnetic Ordering In Ferromagnetic Materials," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(10), pages 1-13.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:10:n:s0218348x2340008x
    DOI: 10.1142/S0218348X2340008X
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