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Nonlinear self adjointness, conservation laws and exact solutions of ill-posed Boussinesq equation

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dc.contributor.authorŞan, Sait
dc.contributor.buuauthorYaşar, Emrullah
dc.contributor.buuauthorÖzkan, Yeşim Sağlam
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.orcid0000-0002-1364-5137
dc.contributor.orcid0000-0003-4732-5753
dc.contributor.researcheridAAG-9947-2021
dc.contributor.researcheridG-5333-2017
dc.contributor.scopusid23471031300
dc.contributor.scopusid57193338830
dc.date.accessioned2022-12-08T11:27:29Z
dc.date.available2022-12-08T11:27:29Z
dc.date.issued2015-12-17
dc.description.abstractIn this work, we consider the ill-posed Boussinesq equation which arises in shallow water waves and non-linear lattices. We prove that the ill-posed Boussinesq equation is nonlinearly self-adjoint. Using this property and Lie point symmetries, we construct conservation laws for the underlying equation. In addition, the generalized solitonary, periodic and compact-like solutions are constructed by the exp-function method.
dc.identifier.citationYaşar, E. vd. (2016). "Nonlinear self adjointness, conservation laws and exact solutions of ill-posed Boussinesq equation". Open Physics, 14(1), 37-43.
dc.identifier.endpage43
dc.identifier.issn2391-5471
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84959278241
dc.identifier.startpage37
dc.identifier.urihttps://doi.org/10.1515/phys-2016-0007
dc.identifier.urihttps://www.degruyter.com/document/doi/10.1515/phys-2016-0007/html
dc.identifier.urihttp://hdl.handle.net/11452/29759
dc.identifier.volume14
dc.identifier.wos000377068000005
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherDe Gruyter Poland
dc.relation.collaborationYurt içi
dc.relation.journalOpen Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectPhysics
dc.subjectIll posed boussinesq equation
dc.subjectConservation laws
dc.subjectNonlinear self-adjointness
dc.subjectExp-function method
dc.subjectExact solutions
dc.subjectTraveling-wave solutions
dc.subjectSine-cosine method
dc.subjectSolitary wave
dc.subject(G'/G)-expansion method
dc.subjectEvolution-equations
dc.subjectTanh method
dc.subjectSolitons
dc.subjectSymmetries
dc.subject.scopusExact Solution; Optical Solitons; (G′/G)-expansion Method
dc.subject.wosPhysics, multidisciplinary
dc.titleNonlinear self adjointness, conservation laws and exact solutions of ill-posed Boussinesq equation
dc.typeArticle
dc.wos.quartileQ3
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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