dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2024-07-17T13:59:34Z | |
dc.date.available | 2024-07-17T13:59:34Z | |
dc.date.issued | 2012-04 | |
dc.identifier.citation | Demiray, H. (2012). Contribution of higher order terms to the nonlinear shallow water waves. TWMS Journal Of Applied And Engineering Mathematics, 2(2), 210-218. | en_US |
dc.identifier.issn | 2146-1147 | |
dc.identifier.uri | https://jaem.isikun.edu.tr/web/index.php/archive/84-vol2no2/140 | |
dc.identifier.uri | http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6039 | |
dc.description.abstract | In this work, by utilizing the scaled multiple-space expansion method, we studied the propagation of weakly nonlinear waves in shallow water and obtained the governing evolution equations of various order terms in the perturbation expansion. Seeking a progressive wave solution to these evolution equations we obtained the speed correction terms so as to remove some possible secularities. The result obtained here is exactly the same with that of obtained by the modified reductive perturbation method [12]. We also proposed a method for the evolution equation governing the n th order term in the perturbation expansion. By defining a single time parameter we showed the connection of the modified reductive perturbation method to the scaled multiple-space expansion method. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Işık University Press | en_US |
dc.relation.ispartof | TWMS Journal of Applied and Engineering Mathematics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.subject | Shallow water waves | en_US |
dc.subject | Scaled multiple-space expansion | en_US |
dc.subject | Solitary waves | en_US |
dc.title | Contribution of higher order terms to the nonlinear shallow water waves | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
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.authorid | 0000-0001-8590-3396 | |
dc.identifier.volume | 2 | |
dc.identifier.issue | 2 | |
dc.identifier.startpage | 210 | |
dc.identifier.endpage | 218 | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.institutionauthor | Demiray, Hilmi | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Emerging Sources Citation Index (ESCI) | en_US |
dc.identifier.wosquality | N/A | en_US |
dc.identifier.wos | WOS:000218993200007 | |