A numerical study of the long wave-short wave interaction equations

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dc.authorid0000-0002-0491-9562
dc.authorid0000-0003-2268-3992
dc.authorid0000-0002-5167-609X
dc.contributor.authorBorluk, Handanen_US
dc.contributor.authorMuslu, Gülçin Mihriyeen_US
dc.contributor.authorErbay, Hüsnü Ataen_US
dc.date.accessioned2015-01-15T23:00:50Z
dc.date.available2015-01-15T23:00:50Z
dc.date.issued2007-03-07
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractTwo numerical methods are presented for the periodic initial-value problem of the long wave-short wave interaction equations describing the interaction between one long longitudinal wave and two short transverse waves propagating in a generalized elastic medium. The first one is the relaxation method, which is implicit with second-order accuracy in both space and time. The second one is the split-step Fourier method, which is of spectral-order accuracy in space. We consider the first-, second- and fourth-order versions of the split-step method, which are first-, second- and fourth-order accurate in time, respectively. The present split-step method profits from the existence of a simple analytical solution for the nonlinear subproblem. We numerically test both the relaxation method and the split-step schemes for a problem concerning the motion of a single solitary wave. We compare the accuracies of the split-step schemes with that of the relaxation method. Assessments of the efficiency of the schemes show that the fourth-order split-step Fourier scheme is the most efficient among the numerical schemes considered.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBorluk, H., Muslu, G. M. & Erbay, H. A. (2007). A numerical study of the long wave–short wave interaction equations. Mathematics and Computers in Simulation, 74(2), 113-125. doi:10.1016/j.matcom.2006.10.016en_US
dc.identifier.doi10.1016/j.matcom.2006.10.016
dc.identifier.endpage125
dc.identifier.issn0378-4754
dc.identifier.issn1872-7166
dc.identifier.issue2
dc.identifier.scopus2-s2.0-33846913997
dc.identifier.scopusqualityQ1
dc.identifier.startpage113
dc.identifier.urihttps://hdl.handle.net/11729/261
dc.identifier.urihttp://dx.doi.org/10.1016/j.matcom.2006.10.016
dc.identifier.volume74
dc.identifier.wosWOS:000244797300006
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakConference Proceedings Citation Index – Science (CPCI-S)en_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorBorluk, Handanen_US
dc.institutionauthorErbay, Hüsnü Ataen_US
dc.institutionauthorid0000-0002-0491-9562
dc.institutionauthorid0000-0002-5167-609X
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherElsevier B.V.en_US
dc.relation.ispartofMathematics and Computers in Simulationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRelaxation methoden_US
dc.subjectSplit-step methoden_US
dc.subjectLong wave-short wave interaction equationsen_US
dc.subjectSolitary wavesen_US
dc.subjectNonlinear schrodinger-equationen_US
dc.subjectTimeen_US
dc.subjectElectromagnetic wavesen_US
dc.subjectFourier transformsen_US
dc.subjectInitial value problemsen_US
dc.subjectNumerical analysisen_US
dc.subjectRelaxation processesen_US
dc.subjectWave propagationen_US
dc.subjectFlow interactionsen_US
dc.subjectSchrödinger equationen_US
dc.subjectSemilinear waveen_US
dc.titleA numerical study of the long wave-short wave interaction equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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