Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model. (25th January 2023)

• Record Type: Journal Article
• Authors: Wang, Kang-Jia; Shi, Feng; Wang, Guo-Dong
• Other Names: Rasool Ghulam Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2023(2023)
• Publication Date: 2023-01-25
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2023/4348758
• Languages: English
• ISSNs: 1687-9120

Abstract

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.