Publication:
An extended Korteweg-de Vries equation: Multi-soliton solutions and conservation laws

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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.accessioned2023-01-19T10:43:55Z
dc.date.available2023-01-19T10:43:55Z
dc.date.issued2017-08-13
dc.description.abstractIn this paper, we consider an extended KdV equation, which arises in the analysis of several problems in soliton theory. First, we converted the underlying equation into the Hirota bilinear form. Then, using the novel test function method, abundant multi-soliton solutions were obtained. Second, we have performed some distinct methods to extended KdV equation for getting some exact wave solutions. In this regard, Kudryashov’s simplest equation methods were examined. Third, the local conservation laws are deduced by multiplier/homotopy methods. Finally, the graphical simulations of the exact solutions are depicted.
dc.identifier.citationYıldırım, Y. ve Yaşar, E. (2017). ''An extended Korteweg-de Vries equation: Multi-soliton solutions and conservation laws''. Nonlinear Dynamics, 90(3), 1571-1579.
dc.identifier.endpage1579
dc.identifier.issn0924-090X
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85027869940
dc.identifier.startpage1571
dc.identifier.urihttps://doi.org/10.1007/s11071-017-3749-x
dc.identifier.urihttps://link.springer.com/article/10.1007/s11071-017-3749-x
dc.identifier.uri1573-269X
dc.identifier.urihttp://hdl.handle.net/11452/30563
dc.identifier.volume90
dc.identifier.wos000413286700006
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherSpringer
dc.relation.journalNonlinear Dynamics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectEngineering
dc.subjectMechanics
dc.subjectConservation laws
dc.subjectExact solutions
dc.subjectExtended kdv equation
dc.subjectNonlinear evolution
dc.subjectSimplest equation
dc.subjectWave solutions
dc.subjectTanh method
dc.subjectComputation
dc.subjectComputational mechanics
dc.subjectKorteweg-de vries equation
dc.subjectPhysical properties
dc.subjectConservation law
dc.subjectExact solution
dc.subjectExact wave solutions
dc.subjectGraphical simulation
dc.subjectHirota bilinear forms
dc.subjectKdv equations
dc.subjectMulti-soliton solutions
dc.subjectSimplest equation method
dc.subjectSolitons
dc.subject.scopusExact Solution; Optical Solitons; (G′/G)-expansion Method
dc.subject.wosEngineering, mechanical
dc.subject.wosMechanics
dc.titleAn extended Korteweg-de Vries equation: Multi-soliton solutions and conservation laws
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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