A study on solitary wave solutions for the Zoomeron equation supported by two-dimensional dynamics

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dc.authorid0000-0002-3585-8061en_US
dc.authorid0000-0002-1460-8573en_US
dc.authorid0000-0002-9657-2577en_US
dc.contributor.authorDuran, Serbay
dc.contributor.authorYokus, Asif
dc.contributor.authorKilinc, Gulsen
dc.date.accessioned2023-12-15T08:03:58Z
dc.date.available2023-12-15T08:03:58Z
dc.date.issued2023en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractThis study emphasizes the importance of understanding natural phenomena through various observations and relating them to scientific studies. Nonlinear partial differential equations serve as fundamental tools for modeling these phenomena, with a focus on nonlinear evolution equations when involving time. This paper investigates the dynamics of the Zoomeron equation, highlighting not only a result derived from the KdV and Schrodinger equations but also its contribution to the modeling of Boomeron and Trappon solitons. Different analytical techniques yield various solutions for the Zoomeron equation, each offering unique insights. The behavior of the solutions generated in kink and singular soliton forms in various dynamics using the G'/G(2) -expansion method is investigated and compared under restrictive conditions, and the distribution of energy density is explained with the assistance of the gradient function. It is aimed at gaining a physically unique perspective by revealing the connections between the velocities of solitons produced for this equation and the effects of gradient flow directions. In addition, stability analysis for some of the solutions generated in the kink form is investigated. The structure of the paper includes method introduction, application, stability property, results and discussion, resulting in a unique perspective on understanding the physical dynamics of the Zoomeron model.en_US
dc.identifier.doi10.1088/1402-4896/ad0c3cen_US
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85179752941en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11467/7046
dc.identifier.urihttps://doi.org/10.1088/1402-4896/ad0c3c
dc.identifier.volume98en_US
dc.identifier.wosWOS:001111215800001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltden_US
dc.relation.ispartofPhysica Scriptaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.rightsinfo:eu-repo/semantics/restrictedAccessen_US
dc.subjectZoomeron equationsolitary; wave solution; the (G'/G (2))-expansion method; kink soliton; singular soliton; stability analysisen_US
dc.titleA study on solitary wave solutions for the Zoomeron equation supported by two-dimensional dynamicsen_US
dc.typeArticleen_US

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