On existence of periodic solutions of the KDV type equation

Imanaliev, Talaibek M.

dc.contributor.author	Imanaliev, Talaibek M.	en_US
dc.date.accessioned	2020-09-21T07:25:08Z
dc.date.available	2020-09-21T07:25:08Z
dc.date.issued	2011-07-27
dc.identifier.citation	Imanaliev, T. M. (2011). On existence of periodic solutions of the KDV type equation. TWMS Journal Of Applied And Engineering Mathematics, 1(2), 167-172.	en_US
dc.identifier.issn	2146-1147
dc.identifier.issn	2587-1013
dc.identifier.uri	https://hdl.handle.net/11729/2428
dc.identifier.uri	http://jaem.isikun.edu.tr/web/index.php/archive/86-vol1no2/158
dc.description.abstract	We prove the existence of the periodic solutions of the KDV type of equation with respect to time variable with periodic external force. Using the integral substitution we reduce the original equation to the integral equation. The existence of the unique solution of the equation is proved by the fixed point theorem. Thus we show that the solitons are periodic in time as well as in space dimension.	en_US
dc.language.iso	eng	en_US
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	Periodic solution	en_US
dc.subject	KDV type equation	en_US
dc.subject	Nonlinear integral equation	en_US
dc.subject	Contractive operator	en_US
dc.title	On existence of periodic solutions of the KDV type equation	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.identifier.volume	1
dc.identifier.issue	2
dc.identifier.startpage	167
dc.identifier.endpage	172
dc.peerreviewed	Yes	en_US
dc.publicationstatus	Published	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı	en_US