A variety of closed-form solutions, Painlevé analysis, and solitary wave profiles for modified KdV–Zakharov–Kuznetsov equation in (3+1)-dimensions

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dc.contributor.authorNonlaopona, K.
dc.contributor.authorMann, N.
dc.contributor.authorKumar, S.
dc.contributor.authorRezaei, S.
dc.contributor.authorAbdou, M.A.
dc.date.accessioned2022-03-23T12:25:25Z
dc.date.available2022-03-23T12:25:25Z
dc.date.issued2022en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe major goal of the article is to use the generalized exponential rational function method to seek abundant closed-form solutions and dynamics of solitary wave profiles to the (3+1)-dimensional modified KdV–Zakharov–Kuznetsov (MKdV–ZK) equation. We also apply the Painlevé analysis with Kruskal simplification to investigate the integrability of the said equation. The (3+1)-dimensional MKdV–ZK model is a significant model with great advantages in various disciplines of physics, such as nonlinear optics, fluid dynamics, plasma physics, mathematical physics, and quantum mechanics. By taking advantage of the generalized exponential rational function technique, we extracted various soliton solutions, including exponential form, trigonometric form, and hyperbolic form function solutions. From both mathematical and physical points of view, it is important to obtain bright–dark soliton forms and other solitonic wave profiles. Furthermore, the results have been graphically revealed using 3D, 2D, and contour plots to demonstrate the underlying dynamics of the interactive waves. The obtained findings indicate the method's efficacy and dependability, allowing it to be widely applied in a variety of advanced nonlinear evolution equations. © 2022 The Author(s)en_US
dc.identifier.citationNonlaopona, K., Mann, N., Kumar, S., Rezaei, S., & Abdou, M. A. (2022). A variety of closed-form solutions, painlevé analysis, and solitary wave profiles for modified KdV–Zakharov–Kuznetsov equation in (3+1)-dimensions. Results in Physics, 36 doi:10.1016/j.rinp.2022.105394en_US
dc.identifier.doi10.1016/j.rinp.2022.105394en_US
dc.identifier.issn2211-3797en_US
dc.identifier.scopus2-s2.0-85126338581en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2022.105394
dc.identifier.urihttps://hdl.handle.net/20.500.12713/2580
dc.identifier.volume36en_US
dc.identifier.wosWOS:000798979700004en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorRezaei, Somayeh
dc.language.isoenen_US
dc.publisherElsevier B.V.en_US
dc.relation.ispartofResults in Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDynamical Wave Profilesen_US
dc.subjectExact Solutionsen_US
dc.subjectGERF Approachen_US
dc.subjectModified kdV–Zakharov–Kuznetsov Equationen_US
dc.subjectNonlinear Evolution Equationsen_US
dc.subjectPainlevé Analysisen_US
dc.subjectSolitonsen_US
dc.titleA variety of closed-form solutions, Painlevé analysis, and solitary wave profiles for modified KdV–Zakharov–Kuznetsov equation in (3+1)-dimensionsen_US
dc.typeArticleen_US

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