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

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...

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Main Authors: Shariful Islam, Bishnupada Halder, Ahmed Refaie Ali
Format: Article
Language:English
Published: Nature Portfolio 2023-06-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-36536-z
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author Shariful Islam
Bishnupada Halder
Ahmed Refaie Ali
author_facet Shariful Islam
Bishnupada Halder
Ahmed Refaie Ali
author_sort Shariful Islam
collection DOAJ
description 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.
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spelling doaj.art-9db1c47e76d6495b8759e65872ae05fc2023-06-25T11:16:05ZengNature PortfolioScientific Reports2045-23222023-06-0113112410.1038/s41598-023-36536-zOptical and rogue type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equationShariful Islam0Bishnupada Halder1Ahmed Refaie Ali2Department of Electrical and Electronic Engineering, Pundra University of Science and TechnologyDepartment of Mathematics, Pabna University of Science and TechnologyDepartment of Mathematics and Computer Science, Faculty of Science, Menoufia UniversityAbstract 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.https://doi.org/10.1038/s41598-023-36536-z
spellingShingle Shariful Islam
Bishnupada Halder
Ahmed Refaie Ali
Optical and rogue type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation
Scientific Reports
title Optical and rogue type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation
title_full Optical and rogue type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation
title_fullStr Optical and rogue type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation
title_full_unstemmed Optical and rogue type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation
title_short Optical and rogue type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation
title_sort optical and rogue type soliton solutions of the 2 1 dimensional nonlinear heisenberg ferromagnetic spin chains equation
url https://doi.org/10.1038/s41598-023-36536-z
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