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On the exact solutions, lie symmetry analysis, and conservation laws of Schamel-Korteweg-de Vries equation

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dc.contributor.authorGiresunlu, İlker Burak
dc.contributor.buuauthorSağlam, Özkan Yeşim
dc.contributor.buuauthorYaşar, Emrullah
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.scopusid57193338830
dc.contributor.scopusid23471031300
dc.date.accessioned2023-01-16T08:08:03Z
dc.date.available2023-01-16T08:08:03Z
dc.date.issued2017-07-30
dc.description.abstractIn this work, we study the integrability aspects of the Schamel-Korteweg-de Vries equation that play an important role in studying the effect of electron trapping on the nonlinear interaction of ion-acoustic waves by including a quasi-potential. Lie symmetry analysis together with the simplest equation method and Kudryashov method is used to obtain exact traveling wave solutions for this equation. In addition, conservation laws are constructed using two different techniques, namely, the multiplier method and the new conservation theorem. Using the conservation laws and symmetries of the underlying equation, double reduction and exact solution were also constructed.
dc.identifier.citationGiresunlu, İ. B. vd. (2017). ''On the exact solutions, lie symmetry analysis, and conservation laws of Schamel-Korteweg-de Vries equation''. Mathematical Methods in the Applied Sciences, 40(11), 3927-3936.
dc.identifier.doi10.1002/mma.4274
dc.identifier.endpage3936
dc.identifier.issn0170-4214
dc.identifier.issue11
dc.identifier.scopus2-s2.0-85013137948
dc.identifier.startpage3927
dc.identifier.urihttps://doi.org/10.1002/mma.4274
dc.identifier.urihttps://onlinelibrary.wiley.com/doi/10.1002/mma.4274
dc.identifier.uri1099-1476
dc.identifier.urihttp://hdl.handle.net/11452/30469
dc.identifier.volume40
dc.identifier.wos000403477500007
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherWiley
dc.relation.collaborationYurt içi
dc.relation.journalMathematical Methods in the Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMathematics
dc.subjectConservation laws
dc.subjectExact solutions
dc.subjectLie groups
dc.subjectSchamel–korteweg–de vries (S-KdV) equation
dc.subjectVariational iteration method
dc.subjectPartial-differential-equations
dc.subjectHomotopy perturbatİon method
dc.subjectNonlinear-wave equations
dc.subjectExamples
dc.subjectTanh
dc.subjectAcoustic waves
dc.subjectAlgebra
dc.subjectLie groups
dc.subjectNonlinear equations
dc.subjectPhysical properties
dc.subjectConservation law
dc.subjectConservation theorem
dc.subjectExact solution
dc.subjectExact traveling wave solutions
dc.subjectKorteweg-de vries
dc.subjectLie symmetry analysis
dc.subjectNonlinear interactions
dc.subjectSimplest equation method
dc.subjectIon acoustic waves
dc.subject.scopusConservation Laws; Physical Properties; Self-Adjointness
dc.subject.wosMathematics, applied
dc.titleOn the exact solutions, lie symmetry analysis, and conservation laws of Schamel-Korteweg-de Vries equation
dc.typeArticle
dc.wos.quartileQ2
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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