Some new soliton solutions of a semi-discrete fractional complex coupled dispersionless system

In this paper, a semi-discrete fractional derivative complex coupled dispersionless system is proposed. The properties of M-fractional derivative are utilized to convert discrete M-fractional derivative system to a classical discrete differential system. Then the invariant subspace method (ISM) is u...

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Autores principales: Abdel Kader, A. H., El Bialy, F., Nour, H. M., Abdel Latif, M. S.
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/PMC10119137/
https://www.ncbi.nlm.nih.gov/pubmed/37081076
http://dx.doi.org/10.1038/s41598-023-33689-9
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author Abdel Kader, A. H.
El Bialy, F.
Nour, H. M.
Abdel Latif, M. S.
author_facet Abdel Kader, A. H.
El Bialy, F.
Nour, H. M.
Abdel Latif, M. S.
author_sort Abdel Kader, A. H.
collection PubMed
description In this paper, a semi-discrete fractional derivative complex coupled dispersionless system is proposed. The properties of M-fractional derivative are utilized to convert discrete M-fractional derivative system to a classical discrete differential system. Then the invariant subspace method (ISM) is utilized to find dark, bright, kink and W-shaped soliton solutions for the proposed system.
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spelling pubmed-101191372023-04-22 Some new soliton solutions of a semi-discrete fractional complex coupled dispersionless system Abdel Kader, A. H. El Bialy, F. Nour, H. M. Abdel Latif, M. S. Sci Rep Article In this paper, a semi-discrete fractional derivative complex coupled dispersionless system is proposed. The properties of M-fractional derivative are utilized to convert discrete M-fractional derivative system to a classical discrete differential system. Then the invariant subspace method (ISM) is utilized to find dark, bright, kink and W-shaped soliton solutions for the proposed system. Nature Publishing Group UK 2023-04-20 /pmc/articles/PMC10119137/ /pubmed/37081076 http://dx.doi.org/10.1038/s41598-023-33689-9 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
Abdel Kader, A. H.
El Bialy, F.
Nour, H. M.
Abdel Latif, M. S.
Some new soliton solutions of a semi-discrete fractional complex coupled dispersionless system
title Some new soliton solutions of a semi-discrete fractional complex coupled dispersionless system
title_full Some new soliton solutions of a semi-discrete fractional complex coupled dispersionless system
title_fullStr Some new soliton solutions of a semi-discrete fractional complex coupled dispersionless system
title_full_unstemmed Some new soliton solutions of a semi-discrete fractional complex coupled dispersionless system
title_short Some new soliton solutions of a semi-discrete fractional complex coupled dispersionless system
title_sort some new soliton solutions of a semi-discrete fractional complex coupled dispersionless system
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10119137/
https://www.ncbi.nlm.nih.gov/pubmed/37081076
http://dx.doi.org/10.1038/s41598-023-33689-9
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