New conservation laws of the Boussinesq and generalized Kadomtsev-Petviashvili equations via homotopy operator

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dc.authoridJafari, Mehdi/0000-0002-7154-7527
dc.authoridJafari, Mehdi/0000-0002-2890-9967
dc.contributor.authorJafari, Mehdi
dc.contributor.authorMahdion, Somayesadat
dc.contributor.authorAkgul, Ali
dc.contributor.authorEldin, Sayed M.
dc.date.accessioned2024-12-24T19:27:42Z
dc.date.available2024-12-24T19:27:42Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractAccording to the tools of linear algebra and calculus of variations, the conservation laws of Boussinesq and generalized Kadomtsev-Petviashvili (gKP) equations are investigated using multipliers and scaling methods. Using the Euler-Lagrange operator, the determining equations are calculated to find the multipliers of Boussinesq equation and the actual density of gKP equation. Then, the flux and density pairs of Boussinesq equation and the corresponding flux of gKP equation are obtained through 2-dimensional homotopy operator.
dc.identifier.doi10.1016/j.rinp.2023.106369
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85150473690
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2023.106369
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6739
dc.identifier.volume47
dc.identifier.wosWOS:000993067900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectBoussinesq equation
dc.subjectgKP equation
dc.subjectConversation laws
dc.subjectMultiplier method
dc.subjectScaling method
dc.titleNew conservation laws of the Boussinesq and generalized Kadomtsev-Petviashvili equations via homotopy operator
dc.typeArticle

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