Exact soliton solutions for the (n+1)-dimensional generalized Kadomtsev-Petviashvili equation via two novel methods

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dc.contributor.authorKopçasız, Bahadır
dc.contributor.authorKaya Sağlam, Fatma Nur
dc.contributor.authorMalik, Sandeep
dc.date.accessioned2025-08-08T11:54:39Z
dc.date.available2025-08-08T11:54:39Z
dc.date.issued2025
dc.departmentMühendislik ve Mimarlık Fakültesi
dc.description.abstractIn this study, we deal with the (n + 1)-dimensional generalized Kadomtsev-Petviashvili equation (gKPE). This equation is an extension of the classical KP equation to higher dimensions, allowing for the study of nonlinear wave propagation in (n + 1) dimensions. Like the original KP equation, the (n+ 1)-dimensional version can support soliton solutions, which are stable waveforms that retain their shape while traveling. The (n+1)- dimensional gKPE has several applications in different physical systems, such as optical fibers, Bose-Einstein condensates, fluid physics, and plasma physics. We use two efficient methods to search for analytical solutions to the equation we consider. One of these methods is the generalized unified method and the improved F-expansion method. Using these techniques, we obtain many soliton solutions of rational, hyperbolic, and trigonometric types. We present 3D, contour, and density plots to observe the behavior of some of the solutions we obtained. The acquired results constitute an essential resource for the study of hydrodynamic waves, plasma fluctuations, and optical solitons and offer useful information for understanding the behavior of the KPE under different physical situations. The methodologies used in this study are robust, influential, and practicable for diverse nonlinear partial differential equations; to our knowledge, these methods of investigation have not been explored before for this equation. The accuracy of each solution has been verified using the Maple software program.
dc.identifier.doi10.1142/S0219887825501051
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.urihttps://hdl.handle.net/11363/10242
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.institutionauthorKopçasız, Bahadır
dc.language.isoen
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
dc.relation.ispartofINTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectn+1)-dimensional generalized Kadomtsev-Petviashvili equation
dc.subjectexact soliton solutions
dc.subjectthe generalized unified method
dc.subjectthe improved F-expansion method
dc.titleExact soliton solutions for the (n+1)-dimensional generalized Kadomtsev-Petviashvili equation via two novel methods
dc.typeArticle

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