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

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Kangkang Wang, Feng Shi, Guo‐Dong Wang
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引用次数: 12

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.
(2+1)维Heisenberg铁磁自旋链动力学模型的丰富孤立子结构
本文旨在研究(2+1)维海森堡铁磁自旋链方程,该方程用于描述磁体的非线性动力学。利用变分法和子方程法两种最新的有效技术构造了丰富的孤立子解。利用这两种方法,成功地提取了亮孤子、暗孤子、亮暗孤子、完美周期孤子和奇异周期孤子等不同的解。通过选择合适的参数值来解释波浪剖面的动力学,以三维图和二维曲线的形式说明了数值结果。最后,详细阐述了对所获得结果的物理解释。研究结果有助于解释电磁波中一些非线性物理模型的一些物理意义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Advances in Mathematical Physics
Advances in Mathematical Physics 数学-应用数学
CiteScore
2.40
自引率
8.30%
发文量
151
审稿时长
>12 weeks
期刊介绍: Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.
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