Stability analysis and retrieval of new solitary waves of (2+1)- and (3+1)-dimensional potential Kadomtsev-Petviashvili and B-type Kadomtsev-Petviashvili equations using auxiliary equation technique

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dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.authoridKaya Saglam, Fatma Nur/0000-0001-7488-3254
dc.contributor.authorSaglam, Fatma Nur Kaya
dc.contributor.authorAhmad, Shabir
dc.date.accessioned2024-10-29T17:58:47Z
dc.date.available2024-10-29T17:58:47Z
dc.date.issued2024
dc.departmentTekirdağ Namık Kemal Üniversitesi
dc.description.abstractThe Kadomtsev-Petviashvili (KP) equations are nonlinear partial differential equations which are widely used for the modeling of wave propagation in hydrodynamic and plasma systems. This study aims to make a valuable contribution to the literature by providing new solitary waves to the (2+1)- and (3+1)-dimensional potential Kadomtsev-Petviashvili (pKP)-B-type Kadomtsev-Petviashvili (BKP) equations. For this, the auxiliary equation method associated with Bernoulli equation is used and new solutions for the considered equations are obtained. The stability of obtained solutions is demonstrated using nonlinear analysis. It is shown that this method for the considered pKP-BKP equations is an important step forward in an overall mathematical framework for similar equations.
dc.description.sponsorshipTUBITAK [2211/A]
dc.description.sponsorshipTUBITAK 2211/A funding was received to assist with the preparation of this paper.
dc.identifier.doi10.1142/S021798492450413X
dc.identifier.issn0217-9849
dc.identifier.issn1793-6640
dc.identifier.scopus2-s2.0-85193842292
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1142/S021798492450413X
dc.identifier.urihttps://hdl.handle.net/20.500.11776/14496
dc.identifier.wosWOS:001227689900001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofModern Physics Letters B
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSolitons
dc.subjectauxiliary equation methods
dc.subjectKadomtsev-Petviashvili equation
dc.titleStability analysis and retrieval of new solitary waves of (2+1)- and (3+1)-dimensional potential Kadomtsev-Petviashvili and B-type Kadomtsev-Petviashvili equations using auxiliary equation technique
dc.typeArticle

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