Breaking analysis of solitary waves for the shallow water wave system in fluid dynamics

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dc.authorid0000-0002-3585-8061en_US
dc.contributor.authorDuran, Serbay
dc.contributor.authorKaya, Doğan
dc.date.accessioned2021-12-29T10:29:13Z
dc.date.available2021-12-29T10:29:13Z
dc.date.issued2021en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractAnalytical solutions and physical interpretations for the shallow water wave system, which is the modeling of a physical phenomenon in applied mathematics, are presented in this study. The solutions of the shallow water wave system, which models the formation, interaction and breaking of shallow water waves on the ocean surface as a result of external effects (e.g., wind), are examined using the modified expansion method. Besides, physically, the differences between deep and shallow water waves and their transitions with each other are examined. Hyperbolic and trigonometric wave solutions are produced with the advantages of the modified expansion method over other traditional methods. In these wave solutions, the values that cause the breaking of the wave are calculated by considering the velocity parameter. The behavior of the wave at these values is presented with the help of simulations. Finally, the states of solitary wave solutions concerning each other in the same system are compared and analyzed according to the velocity parameter.en_US
dc.identifier.doi10.1140/epjp/s13360-021-01924-9en_US
dc.identifier.scopus2-s2.0-85115882336en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11467/5150
dc.identifier.urihttps://doi.org/10.1140/epjp/s13360-021-01924-9
dc.identifier.wosWOS:000701060200002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofThe European Physical Journal Plusen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.titleBreaking analysis of solitary waves for the shallow water wave system in fluid dynamicsen_US
dc.typeArticleen_US

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