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Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method
In this study, the Lengyel-Epstein system is under investigation analytically. This is the reaction–diffusion system leading to the concentration of the inhibitor chlorite and the activator iodide, respectively. These concentrations of the inhibitor chlorite and the activator iodide are shown in the...
Autores principales: | , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10654499/ https://www.ncbi.nlm.nih.gov/pubmed/37973994 http://dx.doi.org/10.1038/s41598-023-47207-4 |
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author | Ahmed, Nauman Baber, Muhammad Z. Iqbal, Muhammad Sajid Annum, Amina Ali, Syed Mansoor Ali, Mubasher Akgül, Ali El Din, Sayed M. |
author_facet | Ahmed, Nauman Baber, Muhammad Z. Iqbal, Muhammad Sajid Annum, Amina Ali, Syed Mansoor Ali, Mubasher Akgül, Ali El Din, Sayed M. |
author_sort | Ahmed, Nauman |
collection | PubMed |
description | In this study, the Lengyel-Epstein system is under investigation analytically. This is the reaction–diffusion system leading to the concentration of the inhibitor chlorite and the activator iodide, respectively. These concentrations of the inhibitor chlorite and the activator iodide are shown in the form of wave solutions. This is a reaction†“diffusion model which considered for the first time analytically to explore the different abundant families of solitary wave structures. These exact solitary wave solutions are obtained by applying the generalized Riccati equation mapping method. The single and combined wave solutions are observed in shock, complex solitary-shock, shock singular, and periodic-singular forms. The rational solutions also emerged during the derivation. In the Lengyel-Epstein system, solitary waves can propagate at various rates. The harmony of the system’s diffusive and reactive effects frequently governs the speed of a single wave. Solitary waves can move at a variety of speeds depending on the factors and reaction kinetics. To show their physical behavior, the 3D and their corresponding contour plots are drawn for the different values of constants. |
format | Online Article Text |
id | pubmed-10654499 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-106544992023-11-16 Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method Ahmed, Nauman Baber, Muhammad Z. Iqbal, Muhammad Sajid Annum, Amina Ali, Syed Mansoor Ali, Mubasher Akgül, Ali El Din, Sayed M. Sci Rep Article In this study, the Lengyel-Epstein system is under investigation analytically. This is the reaction–diffusion system leading to the concentration of the inhibitor chlorite and the activator iodide, respectively. These concentrations of the inhibitor chlorite and the activator iodide are shown in the form of wave solutions. This is a reaction†“diffusion model which considered for the first time analytically to explore the different abundant families of solitary wave structures. These exact solitary wave solutions are obtained by applying the generalized Riccati equation mapping method. The single and combined wave solutions are observed in shock, complex solitary-shock, shock singular, and periodic-singular forms. The rational solutions also emerged during the derivation. In the Lengyel-Epstein system, solitary waves can propagate at various rates. The harmony of the system’s diffusive and reactive effects frequently governs the speed of a single wave. Solitary waves can move at a variety of speeds depending on the factors and reaction kinetics. To show their physical behavior, the 3D and their corresponding contour plots are drawn for the different values of constants. Nature Publishing Group UK 2023-11-16 /pmc/articles/PMC10654499/ /pubmed/37973994 http://dx.doi.org/10.1038/s41598-023-47207-4 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 Ahmed, Nauman Baber, Muhammad Z. Iqbal, Muhammad Sajid Annum, Amina Ali, Syed Mansoor Ali, Mubasher Akgül, Ali El Din, Sayed M. Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method |
title | Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method |
title_full | Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method |
title_fullStr | Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method |
title_full_unstemmed | Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method |
title_short | Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method |
title_sort | analytical study of reaction diffusion lengyel-epstein system by generalized riccati equation mapping method |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10654499/ https://www.ncbi.nlm.nih.gov/pubmed/37973994 http://dx.doi.org/10.1038/s41598-023-47207-4 |
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