Exact travelling wave solutions to the generalized Kuramoto-Sivashinsky equation

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

20 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)65-68
Journal / PublicationLatin American Applied Research
Volume34
Issue number1
Publication statusPublished - Jan 2004

Abstract

The exact traveling wave solutions to the generalized Kuramoto-Sivashinsky (K-S) equation were obtained using a special transformation. The original K-S equation was reduced, when α = β = 1 and τ = 0. The K-S equation was derived by Kuramoto for the study of phase turbulence in the Belousov-Zhabotinsky reaction. It was shown that the K-S equation represents one class of pattern formation equation and it also serves as a good model of bifurcation and chaos.

Research Area(s)

  • Kuramoto-Sivashinsky equation, Solitary wave solutions, Travelling wave solutions