An approximate wave solution for perturbed KDV and dissipative NLS equations: weighted residual method
dc.authorid | 0000-0001-8590-3396 | |
dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2020-02-05T04:01:02Z | |
dc.date.available | 2020-02-05T04:01:02Z | |
dc.date.issued | 2019-06-21 | |
dc.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.description.abstract | In 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.version | Publisher's Version | en_US |
dc.identifier.citation | Demiray, 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.endpage | 791 | |
dc.identifier.issn | 2146-1147 | |
dc.identifier.issn | 2587-1013 | |
dc.identifier.issue | 4 | |
dc.identifier.startpage | 786 | |
dc.identifier.uri | https://hdl.handle.net/11729/2239 | |
dc.identifier.uri | https://app.trdizin.gov.tr/makale/TkRVMk1UZzJOZz09 | |
dc.identifier.uri | http://jaem.isikun.edu.tr/web/index.php/archive/103-vol9no4/466 | |
dc.identifier.volume | 9 | |
dc.identifier.wos | WOS:000488642900010 | en_US |
dc.identifier.wosquality | Q4 | |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.indekslendigikaynak | TR-Dizin | en_US |
dc.indekslendigikaynak | Emerging Sources Citation Index (ESCI) | en_US |
dc.institutionauthor | Demiray, Hilmi | en_US |
dc.language.iso | en | en_US |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.publisher | Işık University Press | en_US |
dc.relation.ispartof | TWMS Journal Of Applied And Engineering Mathematics | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Dissipative NLS equation | en_US |
dc.subject | Perturbed KdV equation | en_US |
dc.subject | Weighted residual method | en_US |
dc.title | An approximate wave solution for perturbed KDV and dissipative NLS equations: weighted residual method | en_US |
dc.type | Article | en_US |