Investigation of soliton structures for dispersion, dissipation, and reaction time-fractional KdV-burgers-Fisher equation with the noise effect

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dc.contributor.authorAhmed, Nauman
dc.contributor.authorBaber, Muhammad Z.
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorAkguel, Ali
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorRaza, Ali
dc.contributor.authorChowdhury, Mohammad Showkat Rahim
dc.date.accessioned2024-12-24T19:28:05Z
dc.date.available2024-12-24T19:28:05Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this manuscript, the soliton structures for the time-fractional KdV-Burgers-Fisher equation with the effect of noise are investigated analytically. This is the dispersion-dissipation-reaction model. The third- and fifth-order time-fractional stochastic KdV-Burgers-Fisher equations are under consideration. These wave structures are constructed with the help of an extended generalized Riccati equation mapping method (EGREM). This method is a combined form of the $G'/G$G '/G expansion method with the generalized Riccati equation mapping method, and it will give the different forms of wave structures like shock, singular, combo, hyperbolic, trigonometric, mixed trigonometric, and rational solutions. These techniques are used symbolically with computational tools like Mathematica to demonstrate the efficiency and simplicity of the proposed strategy. Additionally, with the various relevant parameter values, the sketches of some solutions in the form of 3D and contour representations for the purpose of comprehending physical processes are drawn. These sketches clearly show the random behavior of these wave structures that are appearing in dispersion, dissipation, and reaction concentrations of these mathematical models.
dc.identifier.doi10.1080/02286203.2024.2318805
dc.identifier.issn0228-6203
dc.identifier.issn1925-7082
dc.identifier.scopus2-s2.0-85186872465
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1080/02286203.2024.2318805
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6916
dc.identifier.wosWOS:001175740500001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Inc
dc.relation.ispartofInternational Journal of Modelling and Simulation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectWave structures
dc.subjectdispersion-dissipation-reaction
dc.subjectStochastic KdV-burgers-fisher equation
dc.subjectEGREM method
dc.titleInvestigation of soliton structures for dispersion, dissipation, and reaction time-fractional KdV-burgers-Fisher equation with the noise effect
dc.typeArticle

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