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Abundant Soliton Structures to the (2 + 1)‐Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model

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  • Kang-Jia Wang
  • Feng Shi
  • Guo-Dong Wang

Abstract

In this paper, we aim to investigate the (2 + 1)‐dimensional Heisenberg ferromagnetic spin chain equation that is used to describe the nonlinear dynamics of magnets. Two recent effective technologies, namely, the variational method and subequation method, are employed to construct the abundant soliton solutions. By these two methods, diverse solutions such as the bright soliton, dark soliton, bright‐dark soliton, perfect periodic soliton, and singular periodic soliton are successfully extracted. The numerical results are illustrated in the form of 3‐D plots and 2‐D curves by choosing proper parametric values to interpret the dynamics of wave profiles. Finally, the physical interpretation of the acquired results is elaborated in detail. The results obtained in this study are helpful to explain some physical meanings of some nonlinear physical models in electromagnetic waves.

Suggested Citation

  • Kang-Jia Wang & Feng Shi & Guo-Dong Wang, 2023. "Abundant Soliton Structures to the (2 + 1)‐Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model," Advances in Mathematical Physics, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnlamp:v:2023:y:2023:i:1:n:4348758
    DOI: 10.1155/2023/4348758
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    References listed on IDEAS

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    1. Kang-Jia Wang & Feng Shi & Guo-Dong Wang, 2022. "Periodic Wave Structure Of The Fractal Generalized Fourth-Order Boussinesq Equation Traveling Along The Non-Smooth Boundary," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(09), pages 1-8, December.
    2. Kang-Jia Wang, 2022. "A Fractal Modification Of The Unsteady Korteweg–De Vries Model And Its Generalized Fractal Variational Principle And Diverse Exact Solutions," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(09), pages 1-8, December.
    3. Singh, Jagdev, 2020. "Analysis of fractional blood alcohol model with composite fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    4. Ji-Huan He & Shuai-Jia Kou & Chun-Hui He & Zuo-Wei Zhang & Khaled A. Gepreel, 2021. "Fractal Oscillation And Its Frequency-Amplitude Property," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-9, June.
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