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Stable soliton solutions to the nonlinear low-pass electrical transmission lines and the Cahn-Allen equation

The low-pass nonlinear electrical transmission lines and the Cahn-Allen equation are important nonlinear model equations to figure out different tangible systems, namely, electrical engineering, fluid dynamics etc. The contrivance of this study is to introduce advanced Bernoulli sub-equation functio...

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Detalles Bibliográficos
Autores principales: Islam, Md. Ekramul, Barman, Hemonta Kumar, Akbar, M. Ali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8121666/
https://www.ncbi.nlm.nih.gov/pubmed/34027152
http://dx.doi.org/10.1016/j.heliyon.2021.e06910
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author Islam, Md. Ekramul
Barman, Hemonta Kumar
Akbar, M. Ali
author_facet Islam, Md. Ekramul
Barman, Hemonta Kumar
Akbar, M. Ali
author_sort Islam, Md. Ekramul
collection PubMed
description The low-pass nonlinear electrical transmission lines and the Cahn-Allen equation are important nonlinear model equations to figure out different tangible systems, namely, electrical engineering, fluid dynamics etc. The contrivance of this study is to introduce advanced Bernoulli sub-equation function method to search for stable and effective solitary solutions of the described wave equations. Stable solitary solutions are reported as an integration of exponential functions, hyperbolic functions, etc., and the graphical implications for specific values of the corresponding parameters are explained in the solutions obtained in order to uncover the inmost structure of the tangible phenomena. It is establish that the IBSEF method is reliable, contented and might be used in further works to found ample novel soliton solutions for other types of NLEEs arising in physical science and engineering.
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spelling pubmed-81216662021-05-20 Stable soliton solutions to the nonlinear low-pass electrical transmission lines and the Cahn-Allen equation Islam, Md. Ekramul Barman, Hemonta Kumar Akbar, M. Ali Heliyon Research Article The low-pass nonlinear electrical transmission lines and the Cahn-Allen equation are important nonlinear model equations to figure out different tangible systems, namely, electrical engineering, fluid dynamics etc. The contrivance of this study is to introduce advanced Bernoulli sub-equation function method to search for stable and effective solitary solutions of the described wave equations. Stable solitary solutions are reported as an integration of exponential functions, hyperbolic functions, etc., and the graphical implications for specific values of the corresponding parameters are explained in the solutions obtained in order to uncover the inmost structure of the tangible phenomena. It is establish that the IBSEF method is reliable, contented and might be used in further works to found ample novel soliton solutions for other types of NLEEs arising in physical science and engineering. Elsevier 2021-05-05 /pmc/articles/PMC8121666/ /pubmed/34027152 http://dx.doi.org/10.1016/j.heliyon.2021.e06910 Text en © 2021 Published by Elsevier Ltd. https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Islam, Md. Ekramul
Barman, Hemonta Kumar
Akbar, M. Ali
Stable soliton solutions to the nonlinear low-pass electrical transmission lines and the Cahn-Allen equation
title Stable soliton solutions to the nonlinear low-pass electrical transmission lines and the Cahn-Allen equation
title_full Stable soliton solutions to the nonlinear low-pass electrical transmission lines and the Cahn-Allen equation
title_fullStr Stable soliton solutions to the nonlinear low-pass electrical transmission lines and the Cahn-Allen equation
title_full_unstemmed Stable soliton solutions to the nonlinear low-pass electrical transmission lines and the Cahn-Allen equation
title_short Stable soliton solutions to the nonlinear low-pass electrical transmission lines and the Cahn-Allen equation
title_sort stable soliton solutions to the nonlinear low-pass electrical transmission lines and the cahn-allen equation
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8121666/
https://www.ncbi.nlm.nih.gov/pubmed/34027152
http://dx.doi.org/10.1016/j.heliyon.2021.e06910
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