Exact travelling wave solutions to the generalized Kuramoto-Sivashinsky equation

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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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

Link(s)

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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-1942540726&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(620eb2c7-d875-4d42-87c1-080ab370e8e3).html

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

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100
solutions INIS
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equations INIS
100
travelling waves INIS
100
Kuramoto-Sivashinsk... Keyphrases
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Exact Traveling Wav... Keyphrases
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Traveling Wave Solu... Mathematics
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Sivashinsky Equatio... Mathematics
20
Best Model Keyphrases
20
Bifurcation Keyphrases
20
Pattern Formation Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
Exact travelling wave solutions to the generalized Kuramoto-Sivashinsky equation. / Li, Changpin; Chen, Guanrong; Zhao, Suchuan.
In: Latin American Applied Research, Vol. 34, No. 1, 01.2004, p. 65-68.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review