The positive multi-complexiton solution to a generalized Kadomtsev–Petviashvili equation

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dc.contributor.authorHosseini, K.
dc.contributor.authorHincal, E.
dc.contributor.authorSadri, K.
dc.contributor.authorRabiei, F.
dc.contributor.authorIlie, M.
dc.contributor.authorAkgül, A.
dc.contributor.authorOsman, M.S.
dc.date.accessioned2024-12-24T19:10:21Z
dc.date.available2024-12-24T19:10:21Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractRecently, Lin et al. (Appl. Math. Lett. 78 (2018) 112–117) established the resonant multiple-wave solution of a generalized Kadomtsev–Petviashvili (gKP) equation with applications in applied sciences using the linear superposition technique. In the present paper, according to the results obtained by Lin et al. and adopting a systematic method established by Zhou and Manukure, the positive multi-complexiton solution to the generalized Kadomtsev–Petviashvili equation is constructed for the first time. Several simulations in three dimensions are conducted formally in order to examine the dynamic behavior of positive multi-complexiton solutions, particularly the positive single-, double-, and triple-complexion waves. The current research outcomes definitely will enrich studies related to the gKP equation and its exact solutions. © 2024
dc.identifier.doi10.1016/j.padiff.2024.100647
dc.identifier.issn2666-8181
dc.identifier.scopus2-s2.0-85185612248
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org10.1016/j.padiff.2024.100647
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4067
dc.identifier.volume9
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier B.V.
dc.relation.ispartofPartial Differential Equations in Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectDynamic behavior
dc.subjectgKP equation
dc.subjectLinear superposition technique
dc.subjectPositive multi-complexiton solution
dc.subjectResonant multiple-wave solution
dc.titleThe positive multi-complexiton solution to a generalized Kadomtsev–Petviashvili equation
dc.typeArticle

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