The computation of Lie point symmetry generators, modulational instability, classification of conserved quantities, and explicit power series solutions of the coupled system

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dc.authoridHassan, Ahmed/0000-0002-1369-326X
dc.authoridAli Faridi, Waqas/0000-0003-0713-5365
dc.contributor.authorFaridi, Waqas Ali
dc.contributor.authorYusuf, Abdullahi
dc.contributor.authorAkgul, Ali
dc.contributor.authorTawfiq, Ferdous M. O.
dc.contributor.authorTchier, Fairouz
dc.contributor.authorAl-deiakeh, Rawya
dc.contributor.authorSulaiman, Tukur A.
dc.date.accessioned2024-12-24T19:27:43Z
dc.date.available2024-12-24T19:27:43Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe well-known Chaffee-Infante reaction hierarchy is examined in this article along with its reaction-diffusion coupling. It has numerous variety of applications in modern sciences, such as electromagnetic wave fields, fluid dynamics, high-energy physics, ion-acoustic waves in plasma physics, coastal engineering, and optical fibres. The physical processes of mass transfer and particle diffusion might be expressed in this way. The Lie invariance criteria is taken into consideration while we determine the symmetry generators. The suggested approach produces the six dimensional Lie algebra, where translation symmetries in space and time are associated to mass conservation and conservation of energy respectively, the other symmetries are scaling or dilation. Additionally, similarity reductions are performed, and the optimal system of the sub-algebra should be quantified. There are an enormous number of exact solutions can construct for the traveling waves when the governing system is transformed into ordinary differential equations using the similarity transformation technique. The power series approach is also utilized for ordinary differential equations to obtain closed -form analytical solutions for the proposed diffusive coupled system. The stability of the model under the limitations is ensured by the modulation instability analysis. The reaction diffusion hierarchy's conserved vectors are calculated using multiplier methods using Lie Backlund symmetries. The acquired results are presented graphically in 2-D and 3-D to demonstrate the wave propagation behavior.
dc.description.sponsorshipKing Saud University, Riyadh, Saudi Arabia [RSP2023R440]
dc.description.sponsorshipResearchers Supporting Project number (RSP2023R440) , King Saud University, Riyadh, Saudi Arabia.
dc.identifier.doi10.1016/j.rinp.2023.107126
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85175522020
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2023.107126
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6759
dc.identifier.volume54
dc.identifier.wosWOS:001109330100001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectLie symmetry analysis
dc.subjectPower series solution approach
dc.subjectModulation instability
dc.subjectConserved quantities
dc.subjectCoupled Chaffee-Infante reaction system
dc.titleThe computation of Lie point symmetry generators, modulational instability, classification of conserved quantities, and explicit power series solutions of the coupled system
dc.typeArticle

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