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

Demiray, Hilmi

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.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.issn	2146-1147
dc.identifier.issn	2587-1013
dc.identifier.uri	https://hdl.handle.net/11729/2239
dc.identifier.uri	http://jaem.isikun.edu.tr/web/index.php/archive/103-vol9no4/466
dc.identifier.uri	https://app.trdizin.gov.tr/makale/TkRVMk1UZzJOZz09
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.language.iso	eng
dc.publisher	Işık University Press	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	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
dc.description.version	Publisher's Version	en_US
dc.relation.journal	TWMS Journal Of Applied And Engineering Mathematics	en_US
dc.contributor.department	Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	en_US
dc.contributor.department	Işık University, Faculty of Arts and Sciences, Department of Mathematics	en_US
dc.contributor.authorID	0000-0001-8590-3396
dc.identifier.volume	9
dc.identifier.issue	4
dc.identifier.startpage	786
dc.identifier.endpage	791
dc.peerreviewed	Yes	en_US
dc.publicationstatus	Published	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı	en_US
dc.contributor.institutionauthor	Demiray, Hilmi	en_US
dc.relation.index	WOS	en_US
dc.relation.index	Scopus	en_US
dc.relation.index	TR-Dizin	en_US
dc.relation.index	Emerging Sources Citation Index (ESCI)	en_US
dc.description.wosid	WOS:000488642900010