Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation

In this research, we investigate the integrability properties of the Schamel–Korteweg–de Vries (S-KdV) equation, which is important for understanding the effect of electron trapping in the nonlinear interaction of ion-acoustic waves. Using the optimal system, we come over reduced ordinary differenti...

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Autores principales: Hussain, A., Chahlaoui, Younes, Usman, M., Zaman, F. D., Park, Choonkil
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10505238/
https://www.ncbi.nlm.nih.gov/pubmed/37717085
http://dx.doi.org/10.1038/s41598-023-42477-4
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author Hussain, A.
Chahlaoui, Younes
Usman, M.
Zaman, F. D.
Park, Choonkil
author_facet Hussain, A.
Chahlaoui, Younes
Usman, M.
Zaman, F. D.
Park, Choonkil
author_sort Hussain, A.
collection PubMed
description In this research, we investigate the integrability properties of the Schamel–Korteweg–de Vries (S-KdV) equation, which is important for understanding the effect of electron trapping in the nonlinear interaction of ion-acoustic waves. Using the optimal system, we come over reduced ordinary differential equations (ODEs). To deal with reduced ODEs for this problem, Lie symmetry analysis is combined with the modified auxiliary equation (MAE) procedure and the generalized Jacobi elliptic function expansion (JEF) method. The analytical solutions reported here are novel and have a wide range of applications in mathematical physics.
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spelling pubmed-105052382023-09-18 Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation Hussain, A. Chahlaoui, Younes Usman, M. Zaman, F. D. Park, Choonkil Sci Rep Article In this research, we investigate the integrability properties of the Schamel–Korteweg–de Vries (S-KdV) equation, which is important for understanding the effect of electron trapping in the nonlinear interaction of ion-acoustic waves. Using the optimal system, we come over reduced ordinary differential equations (ODEs). To deal with reduced ODEs for this problem, Lie symmetry analysis is combined with the modified auxiliary equation (MAE) procedure and the generalized Jacobi elliptic function expansion (JEF) method. The analytical solutions reported here are novel and have a wide range of applications in mathematical physics. Nature Publishing Group UK 2023-09-16 /pmc/articles/PMC10505238/ /pubmed/37717085 http://dx.doi.org/10.1038/s41598-023-42477-4 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Hussain, A.
Chahlaoui, Younes
Usman, M.
Zaman, F. D.
Park, Choonkil
Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation
title Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation
title_full Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation
title_fullStr Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation
title_full_unstemmed Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation
title_short Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation
title_sort optimal system and dynamics of optical soliton solutions for the schamel kdv equation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10505238/
https://www.ncbi.nlm.nih.gov/pubmed/37717085
http://dx.doi.org/10.1038/s41598-023-42477-4
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