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Lump-Type and Bell-Shaped Soliton Solutions of the Time-Dependent Coefficient Kadomtsev-Petviashvili Equation

dc.contributor.authorAliyu, Aliyu Isa
dc.contributor.authorLi, Yongjin
dc.contributor.authorQi, Liu
dc.contributor.authorİnç, Mustafa
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAlshomrani, Ali S.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-02-03T12:14:22Z
dc.date.available2021-02-03T12:14:22Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, the lump-type solutions of the new integrable time-dependent coefficient (2+1)-dimensional Kadomtsev-Petviashvili equation are investigated by applying the Hirota bilinear technique and a suitable ansatz. The equation is applied in the modeling of propagation of small-amplitude surface waves in large channels or straits of slowly varying width, depth and non-vanishing vorticity. Applying the Bell's polynomials approach, we successfully acquire the bilinear form of the equation. We firstly find a general form of quadratic function solution of the bilinear form and then expand it as the sums of squares of linear functions satisfying some conditions. Most importantly, we acquire two lump-type and a bell-shaped soliton solutions of the equation. To our knowledge, the lump type solutions of the equation are reported for the first time in this paper. The physical interpretation of the results are discussed and represented graphically.en_US
dc.description.publishedMonth1
dc.identifier.citationAliyu, Aliyu Isa...et al. (2020). "Lump-Type and Bell-Shaped Soliton Solutions of the Time-Dependent Coefficient Kadomtsev-Petviashvili Equation", Frontiers in Physics, Vol. 7.en_US
dc.identifier.doi10.3389/fphy.2019.00242
dc.identifier.issn2296-424X
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4543
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.relation.ispartofFrontiers in Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBell's Polynomialsen_US
dc.subjectHirota Bilinear Formen_US
dc.subjectBell-Type Solutionsen_US
dc.subjectLump-Type Solutionsen_US
dc.subject(2+1)-Dimensional Kadomtsev-Petviashvili Equationen_US
dc.titleLump-Type and Bell-Shaped Soliton Solutions of the Time-Dependent Coefficient Kadomtsev-Petviashvili Equationtr_TR
dc.titleLump-Type and Bell-Shaped Soliton Solutions of the Time-Dependent Coefficient Kadomtsev-Petviashvili Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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