New Solutions of Nonlinear Dispersive Equation in Higher-Dimensional Space with Three Types of Local Derivatives

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dc.authoridJarad, Fahd/0000-0002-3303-0623
dc.authoridHashemi, Mir Sajjad/0000-0002-5529-3125
dc.contributor.authorAkgul, Ali
dc.contributor.authorHashemi, Mir Sajjad
dc.contributor.authorJarad, Fahd
dc.date.accessioned2024-12-24T19:33:35Z
dc.date.available2024-12-24T19:33:35Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe aim of this paper is to use the Nucci's reduction method to obtain some novel exact solutions to the s-dimensional generalized nonlinear dispersive mK(m,n) equation. To the best of the authors' knowledge, this paper is the first work on the study of differential equations with local derivatives using the reduction technique. This higher-dimensional equation is considered with three types of local derivatives in the temporal sense. Different types of exact solutions in five cases are reported. Furthermore, with the help of the Maple package, the solutions found in this study are verified. Finally, several interesting 3D, 2D and density plots are demonstrated to visualize the nonlinear wave structures more efficiently.
dc.description.sponsorshipNatural Science Foundation of Hunan province [2018JJ3018, 17C0292]
dc.description.sponsorshipThis work was supported by the Natural Science Foundation of Hunan province (Grant Nos.: 2018JJ3018, 17C0292).
dc.identifier.doi10.3390/fractalfract6040202
dc.identifier.issn2504-3110
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85128660044
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/fractalfract6040202
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8213
dc.identifier.volume6
dc.identifier.wosWOS:000787049000001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofFractal and Fractional
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectNucci's reduction method
dc.subjectM-derivative
dc.subjectbeta derivative
dc.subjecthyperbolic local derivative
dc.subjects-dimensional generalized nonlinear dispersive mK(m
dc.subjectn) equation
dc.titleNew Solutions of Nonlinear Dispersive Equation in Higher-Dimensional Space with Three Types of Local Derivatives
dc.typeArticle

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