Bifurcation analysis of the Kuramoto-Sivashinsky equation in one spatial dimension

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Original languageEnglish
Pages (from-to)2493-2499
Journal / PublicationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume11
Issue number9
Publication statusPublished - Sep 2001

Abstract

In this Letter, we study the bifurcation of the Kuramoto-Sivashinsky (K-S) equation in one-spatial dimension with three kinds of boundary value conditions. Using the Liapunov-Schmidt reduction technique, the original equation is first reduced to one or two bifurcation equations, so that bifurcation analysis of the original equation can be transformed to that of the reduced-order systems, and can therefore be carried out in detail.