An approximate wave solution for perturbed KDV and dissipative NLS equations: weighted residual method

Basit Öğe Kaydı
dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2020-02-05T04:01:02Z
dc.date.available2020-02-05T04:01:02Z
dc.date.issued2019-06-21
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 work, we modified the conventional "weighted residual method" to some nonlinear evolution equations and tried to obtain the approximate progressive wave solutions for these evolution equations. For the illustration of the method we studied the approximate progressive wave solutions for the perturbed KdV and the dissipative NLS equations. The results obtained here are in complete agreement with the solutions of inverse scattering method. The present solutions are even valid when the dissipative effects are considerably large. The results obtained are encouraging and the method can be used to study the cylindrical and spherical evolution equations.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2019). An approximate wave solution for perturbed kdv and dissipative nls equations: Weighted residual method. TWMS Journal of Applied and Engineering Mathematics, 9(4), 786-791.en_US
dc.identifier.endpage791
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85072531827
dc.identifier.scopusqualityN/A
dc.identifier.startpage786
dc.identifier.urihttps://hdl.handle.net/11729/2239
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/456186
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/103-vol9no4/466
dc.identifier.volume9
dc.identifier.wosWOS:000488642900010
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDissipative NLS equationen_US
dc.subjectPerturbed KdV equationen_US
dc.subjectWeighted residual methoden_US
dc.titleAn approximate wave solution for perturbed KDV and dissipative NLS equations: weighted residual methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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Makale Koleksiyonu | Matematik Bölümü
JAEM 2019, Vol 9, No 4
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