Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation

dc.contributor.author	Eremenko, A.
dc.date.accessioned	2016-10-01T13:30:02Z
dc.date.available	2016-10-01T13:30:02Z
dc.date.issued	2006
dc.identifier.citation	Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation / A. Eremenko // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 278-286. — Бібліогр.: 19 назв. — англ.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/106619
dc.description.abstract	We determine all cases when there exists a meromorphic solution of the ODE vw''' + bw'' + μw' + w²/2+ A = 0. This equation describes traveling waves solutions of the Kuramoto-Sivashinsky equation. It turns out that there are no other meromorphic solutions besides those explicit solutions found by Kuramoto and Kudryashov. The general method used in this paper, based on Nevanlinna theory, is applicable to nding all meromorphic solutions of a wide class of nonlinear ODE.	uk_UA
dc.description.sponsorship	The Author thanks Tuen Wai Ng and Robert Conte for bringing to his attention the connection between papers [4] and [19], and stimulating discussions.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA