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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier
2021
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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. |
format | Online Article Text |
id | pubmed-8121666 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Elsevier |
record_format | MEDLINE/PubMed |
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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