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A multiple exp-function method for the three model equations of shallow water waves

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dc.contributor.authorAdem, Abdullahi Rashid
dc.contributor.buuauthorYıldırım, Yakup
dc.contributor.buuauthorYaşar, Emrullah
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.orcid0000-0003-4732-5753
dc.contributor.researcheridAAG-9947-2021
dc.contributor.scopusid56988856400
dc.contributor.scopusid23471031300
dc.date.accessioned2022-12-27T06:57:31Z
dc.date.available2022-12-27T06:57:31Z
dc.date.issued2017-05-25
dc.description.abstractIn this study, we consider three model equations of shallow water waves. Shallow water equations model the propagation of strongly nonlinear waves up to breaking and run-up in nearshore zones. We perform multiple exp-function method which is known as a generalization of Hirota's perturbation scheme. We yield one-, two-, and three-wave solutions. The obtained solutions can be used as benchmarks for numerical solutions of the underlying equations.
dc.description.sponsorshipFaculty Research Committee of FAST, North-West University, Mafikeng Campus, SouthAfrica
dc.identifier.citationYıldırım, Y. vd. (2017). ''A multiple exp-function method for the three model equations of shallow water waves''. Nonlinear Dynamics, 89(3), 2291-2297.
dc.identifier.endpage2297
dc.identifier.issn0924-090X
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85020081286
dc.identifier.startpage2291
dc.identifier.urihttps://doi.org/10.1007/s11071-017-3588-9
dc.identifier.urihttps://link.springer.com/article/10.1007/s11071-017-3588-9
dc.identifier.uri1573-269X
dc.identifier.urihttp://hdl.handle.net/11452/30108
dc.identifier.volume89
dc.identifier.wos000405962800050
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherSpringer
dc.relation.collaborationYurt dışı
dc.relation.journalNonlinear Dynamics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectEngineering
dc.subjectMechanics
dc.subjectMultiple exp-function method
dc.subjectShallow water waves
dc.subjectThe three model equations of shallow water waves
dc.subjectHirota 3-soliton condition
dc.subjectTanh-coth method
dc.subjectSoliton-solutions
dc.subjectBilinear equations
dc.subjectFunction algorithm
dc.subjectSearch
dc.subjectKP
dc.subjectEquations of motion
dc.subjectNonlinear equations
dc.subjectExp-function method
dc.subjectMultiple wave solutions
dc.subjectNear-shore zones
dc.subjectNumerical solution
dc.subjectShallow water equations
dc.subjectStrongly nonlinear
dc.subjectWave solution
dc.subjectWater waves
dc.subject.scopusHirota Bilinear Method; Social Interaction; Kadomtsev-Petviashvili Equation
dc.subject.wosEngineering, mechanical
dc.subject.wosMechanics
dc.titleA multiple exp-function method for the three model equations of shallow water waves
dc.typeArticle
dc.wos.quartileQ1
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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