Applications of a new expansion method for finding wave solutions of nonlinear differential equations

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dc.contributor.authorDuran, Serbay
dc.contributor.authorKaya, Doğan
dc.date.accessioned2020-11-21T15:54:15Z
dc.date.available2020-11-21T15:54:15Z
dc.date.issued2012en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractIn this paper, we presented a new expansion method constructed by taking inspiration for the Kudryashov method. Bernoulli equation was chosen in the form of F' = FB n-AF and made some expansions on the auxiliary Bernoulli equation which used in this method. In this auxiliary Bernoulli equation, by taking n = 3, some wave solutions obtained from Burgers equation and the shallow water wave equation system. As a result, for special values, we concludedthree dimensional wave views for solutions of Burgers Equation and the shallow water wave equation system.To sum up, it is considered that this method can be applied to other nonlinear evolution equations in mathematics physics. © IDOSI Publications, 2012.en_US
dc.identifier.doi10.5829/idosi.wasj.2012.18.11.1507en_US
dc.identifier.endpage1592en_US
dc.identifier.issn1818-4952
dc.identifier.issue11en_US
dc.identifier.scopus2-s2.0-84868678512en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage1582en_US
dc.identifier.urihttps://doi.org/10.5829/idosi.wasj.2012.18.11.1507
dc.identifier.urihttps://hdl.handle.net/11467/3795
dc.identifier.volume18en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofWorld Applied Sciences Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectA new expansion methoden_US
dc.subjectBurgers equationen_US
dc.subjectKudryashov methoden_US
dc.subjectSystem of the shallow water wave equationen_US
dc.subjectTravelling wave solutionen_US
dc.titleApplications of a new expansion method for finding wave solutions of nonlinear differential equationsen_US
dc.typeArticleen_US

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