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

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...

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Main Authors: Kang-Jia Wang, Feng Shi, Guo-Dong Wang
Format: Article
Language:English
Published: Hindawi Limited 2023-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2023/4348758
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author Kang-Jia Wang
Feng Shi
Guo-Dong Wang
author_facet Kang-Jia Wang
Feng Shi
Guo-Dong Wang
author_sort Kang-Jia Wang
collection DOAJ
description 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.
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spelling doaj.art-a36a2f0ddb564085b628995f1b4665522023-02-06T01:40:40ZengHindawi LimitedAdvances in Mathematical Physics1687-91392023-01-01202310.1155/2023/4348758Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical ModelKang-Jia Wang0Feng Shi1Guo-Dong Wang2School of Physics and Electronic Information EngineeringSchool of Physics and Electronic Information EngineeringSchool of Physics and Electronic Information EngineeringIn 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.http://dx.doi.org/10.1155/2023/4348758
spellingShingle Kang-Jia Wang
Feng Shi
Guo-Dong Wang
Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model
Advances in Mathematical Physics
title Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model
title_full Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model
title_fullStr Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model
title_full_unstemmed Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model
title_short Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model
title_sort abundant soliton structures to the 2 1 dimensional heisenberg ferromagnetic spin chain dynamical model
url http://dx.doi.org/10.1155/2023/4348758
work_keys_str_mv AT kangjiawang abundantsolitonstructurestothe21dimensionalheisenbergferromagneticspinchaindynamicalmodel
AT fengshi abundantsolitonstructurestothe21dimensionalheisenbergferromagneticspinchaindynamicalmodel
AT guodongwang abundantsolitonstructurestothe21dimensionalheisenbergferromagneticspinchaindynamicalmodel