Refraction simulation of internal solitary waves for the fractional Benjamin–Ono equation in fluid dynamics

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dc.contributor.authorDuran, Serbay
dc.contributor.authorYokuş, Asıf
dc.contributor.authorDurur, Hülya
dc.contributor.authorKaya, Doğan
dc.date.accessioned2022-01-27T10:32:12Z
dc.date.available2022-01-27T10:32:12Z
dc.date.issued2021en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this study, the modified (1/G?)-expansion method and modified sub-equation method have been successfully applied to the fractional Benjamin–Ono equation that models the internal solitary wave event in the ocean or atmosphere. With both analytical methods, dark soliton, singular soliton, mixed dark-singular soliton, trigonometric, rational, hyperbolic, complex hyperbolic, complex type traveling wave solutions have been produced. In these applications, we consider the conformable operator to which the chain rule is applied. Special values were given to the constants in the solution while drawing graphs representing the stationary wave. By making changes of these constants at certain intervals, the refraction dynamics and physical interpretations of the obtained internal solitary waves were included. These physical comments were supported by simulation with 3D, 2D and contour graphics. These two analytical methods used to obtain analytical solutions of the fractional Benjamin–Ono equation have been analyzed in detail by comparing their respective states. By using symbolic calculation, these methods have been shown to be the powerful and reliable mathematical tools for the solution of fractional nonlinear partial differential equations.en_US
dc.identifier.doi10.1142/S0217984921503632en_US
dc.identifier.issue26en_US
dc.identifier.scopus2-s2.0-85113164868en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11467/5164
dc.identifier.urihttps://doi.org/10.1142/S0217984921503632
dc.identifier.volume35en_US
dc.identifier.wosWOS:000693627500002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientificen_US
dc.relation.ispartofModern Physics Letters Ben_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleRefraction simulation of internal solitary waves for the fractional Benjamin–Ono equation in fluid dynamicsen_US
dc.typeArticleen_US

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