Modulation of generalized symmetric regularized long-wave equation: generalized nonlinear Schrödinger equation

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2019-08-31T12:10:23Z
dc.date.accessioned2019-08-05T16:04:59Z
dc.date.available2019-08-31T12:10:23Z
dc.date.available2019-08-05T16:04:59Z
dc.date.issued2010-12
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.descriptionThis work was partially supported by the Turkish Academy of Sciences (TUBA).en_US
dc.description.abstractIn this work, the application of "the modified reductive perturbation method" is extended to the generalized symmetric regularized long-wave equation for strongly dispersive case and the contribution of higher order terms in the perturbation expansion is obtained. It is shown that the first order term in the perturbation expansion is governed by the generalized nonlinear Schrödinger quation whereas the second order term is governed by the generalized linear Schrödinger equation with a nonhomogeneous term. A travelling wave type of solution to these evolution equations is also given.en_US
dc.description.sponsorshipTurkish Academy of Sciencesen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2010). Modulation of generalized symmetric regularized long-wave equation: Generalized nonlinear schrödinger equation. International Journal of Nonlinear Sciences and Numerical Simulation, 11(12), 1121-1130. doi:10.1515/IJNSNS.2010.11.12.1121en_US
dc.identifier.endpage1130
dc.identifier.issn1565-1339
dc.identifier.issue12
dc.identifier.scopus2-s2.0-79951717961
dc.identifier.scopusqualityQ2
dc.identifier.startpage1121
dc.identifier.urihttps://hdl.handle.net/11729/1951
dc.identifier.urihttp://dx.doi.org/10.1515/IJNSNS.2010.11.12.1121
dc.identifier.volume11
dc.identifier.wosWOS:000288059700016
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherFreund Publishing House Ltden_US
dc.relation.ispartofInternational Journal of Nonlinear Sciences and Numerical Simulationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDinger equationen_US
dc.subjectGeneralized symmetric regularized wave equation Generalized Nonlinear Schrödinger equationen_US
dc.subjectHigher-order termsen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectLindstedt-poincare methodsen_US
dc.subjectReductive perturbation methoden_US
dc.subjectSolitary wavesen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.titleModulation of generalized symmetric regularized long-wave equation: generalized nonlinear Schrödinger equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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