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Complex travelling wave solutions to the KdV and Burgers equations

dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:20Z
dc.date.available2015-01-15T23:00:20Z
dc.date.issued2005-03
dc.identifier.citationDemiray, H. (2005). Complex travelling wave solutions to the KdV and burgers equations. Applied Mathematics and Computation, 162(2), 925-930. doi:10.1016/j.amc.2003.12.132en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.urihttps://hdl.handle.net/11729/185
dc.identifier.urihttp://dx.doi.org/10.1016/j.amc.2003.12.132
dc.descriptionThis work was supported by the Turkish Academy of Sciencesen_US
dc.description.abstractIn the present work, making use of the hyperbolic tangent method, some complex travelling wave solutions to the Korteweg-deVries and Burgers equations are obtained. It is observed that the real part of the Solution for the Burgers equation is of shock type whereas the imaginary part is the localized travelling wave. However, for the solution of the Korteweg-deVries equation the real part is a solitary wave while the imaginary part is the product of a solitary wave with a shock.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.language.isoengen_US
dc.publisherElsevier Science Incen_US
dc.relation.isversionof10.1016/j.amc.2003.12.132
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAlgebraen_US
dc.subjectFunctionsen_US
dc.subjectOrdinary differential equationsen_US
dc.subjectProblem solvingen_US
dc.subjectSet theoryen_US
dc.subjectViscoelasticityen_US
dc.subjectBurgers equationsen_US
dc.subjectSolitary wavesen_US
dc.subjectTangent methoden_US
dc.subjectTraveling wavesen_US
dc.subjectNonlinear equationsen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.titleComplex travelling wave solutions to the KdV and Burgers equationsen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalApplied Mathematics and Computationen_US
dc.contributor.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.contributor.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.contributor.authorID0000-0001-8590-3396
dc.identifier.volume162
dc.identifier.issue2
dc.identifier.startpage925
dc.identifier.endpage930
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.institutionauthorDemiray, Hilmien_US
dc.relation.indexWOSen_US
dc.relation.indexScopusen_US
dc.relation.indexScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.description.qualityQ1
dc.description.wosidWOS:000226860000026


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