Coupled quintic nonlinear Schrodinger equations in a generalized elastic solid

Basit Öğe Kaydı
dc.authorid0000-0001-7076-2172
dc.authorid0000-0002-6080-4591
dc.contributor.authorHacınlıyan, Irmaen_US
dc.contributor.authorErbay, Saadeten_US
dc.date.accessioned2015-01-15T23:00:07Z
dc.date.available2015-01-15T23:00:07Z
dc.date.issued2004-10-08
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn the present study, the nonlinear modulation of transverse waves propagating in a cubically nonlinear dispersive elastic medium is studied using a multiscale expansion of wave solutions. It is found that the propagation of quasimonochromatic transverse waves is described by a pair of coupled nonlinear Schrodinger (CNLS) equations. In the process of deriving the amplitude equations, it is observed that for a specific choice of material constants and wavenumber, the coefficient of nonlinear terms becomes zero, and the CNLS equations are no longer valid for describing the behaviour of transverse waves. In order to balance the nonlinear effects with the dispersive effects, by intensifying the nonlinearity, a new perturbation expansion is used near the critical wavenumber. It is found that the long time behaviour of the transverse waves about the critical wavenumber is given by a pair of coupled quintic nonlinear Schrodinger (CQNLS) equations. In the absence of one of the transverse waves, the CQNLS equations reduce to the single quintic nonlinear Schrodinger (QNLS) equation which has already been obtained in the context of water waves. By using a modified form of the so-called tanh method, some travelling wave solutions of the CQNLS equations are presented.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationHacinliyan, I., & Erbay, S. (2004). Coupled quintic nonlinear schrödinger equations in a generalized elastic solid. Journal of Physics A: Mathematical and General, 37(40), 9387-9401. doi:10.1088/0305-4470/37/40/005en_US
dc.identifier.doi10.1088/0305-4470/37/40/005
dc.identifier.endpage9401
dc.identifier.issn0305-4470
dc.identifier.issue40
dc.identifier.scopus2-s2.0-6344280670
dc.identifier.scopusqualityN/A
dc.identifier.startpage9387
dc.identifier.urihttps://hdl.handle.net/11729/149
dc.identifier.urihttp://dx.doi.org/10.1088/0305-4470/37/40/005
dc.identifier.volume37
dc.identifier.wosWOS:000224714100005
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorErbay, Saadeten_US
dc.institutionauthorid0000-0002-6080-4591
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherIOP Publishing Ltden_US
dc.relation.ispartofJournal of Physics A: Mathematical and Generalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSolitary wave solutionsen_US
dc.subjectMarginal stateen_US
dc.subjectTransverse-wavesen_US
dc.subjectModulationen_US
dc.subjectInstabilityen_US
dc.subjectEvolutionen_US
dc.subjectSolitonsen_US
dc.subjectFibersen_US
dc.subjectMediaen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectWater wavesen_US
dc.titleCoupled quintic nonlinear Schrodinger equations in a generalized elastic soliden_US
dc.typeArticleen_US
dspace.entity.typePublication

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
149.pdf
Boyut:
609.79 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Publisher's Version
İndir

Koleksiyon

Makale Koleksiyonu | Matematik Bölümü
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu