Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method

dc.authoridIqbal, Muhammad Sajid/0000-0001-6929-8093
dc.authoridAli, Syed Mansoor/0000-0003-1416-640X
dc.contributor.authorAhmed, Nauman
dc.contributor.authorBaber, Muhammad Z.
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorAnnum, Amina
dc.contributor.authorAli, Syed Mansoor
dc.contributor.authorAli, Mubasher
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:27:57Z
dc.date.available2024-12-24T19:27:57Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn 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 reactionaeuro 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.
dc.description.sponsorshipThe authors would like to extend their sincere appreciation to the Researcher supporting program at King Saud University, Riyadh, for funding this work under project number (RSPD2023R699). [RSPD2023R699]
dc.description.sponsorshipThe authors would like to extend their sincere appreciation to the Researcher supporting program at King Saud University, Riyadh, for funding this work under project number (RSPD2023R699).
dc.identifier.doi10.1038/s41598-023-47207-4
dc.identifier.issn2045-2322
dc.identifier.issue1
dc.identifier.pmid37973994
dc.identifier.scopus2-s2.0-85176924117
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1038/s41598-023-47207-4
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6840
dc.identifier.volume13
dc.identifier.wosWOS:001107148400068
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherNature Portfolio
dc.relation.ispartofScientific Reports
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.titleAnalytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method
dc.typeArticle

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