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(2+1)维非线性海森堡铁磁自旋链方程的光孤子和伪孤子解。

Optical and rogue type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation.

机构信息

Department of Electrical and Electronic Engineering, Pundra University of Science and Technology, Bogura, 5800, Bangladesh.

Department of Mathematics, Pabna University of Science and Technology, Pabna, 6600, Bangladesh.

出版信息

Sci Rep. 2023 Jun 19;13(1):9906. doi: 10.1038/s41598-023-36536-z.

Abstract

In this study, the uses of unified method for finding solutions of a nonlinear Schrödinger equation that describes the nonlinear spin dynamics of (2+1) dimensional Heisenberg ferromagnetic spin chains equation. We successfully construct solutions to these equations. For each of the derived solutions, we provide the parametric requirements for the existence of a valid soliton. In order to visualize some of the discovered solutions, we plot the 2D and 3D graphics. The results of this investigation, which have been presented, might be useful in elucidating the model's physical significance. These are a highly useful tool for studying how electrical solitons, which travel as voltage waves in nonlinear dispersive media, spread out, as well as for doing various physical calculations. The study's findings, which have been disclosed, might be useful in illuminating the models under consideration's physical significance and electrical field.

摘要

在这项研究中,我们使用统一的方法来寻找描述(2+1)维海森堡铁磁自旋链方程的非线性薛定谔方程的解。我们成功地构造了这些方程的解。对于每个导出的解,我们提供了存在有效孤子的参数要求。为了可视化一些发现的解,我们绘制了 2D 和 3D 图形。所提出的研究结果可能有助于阐明模型的物理意义。这些对于研究非线性弥散介质中作为电压波传播的电孤子如何扩散以及进行各种物理计算非常有用。所揭示的研究结果可能有助于阐明所考虑的模型的物理意义和电场。

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