Exact travelling wave solutions to the generalized Kuramoto-Sivashinsky equation

Changpin Li; Guanrong Chen; Suchuan Zhao

Exact travelling wave solutions to the generalized Kuramoto-Sivashinsky equation

Changpin Li
, Guanrong Chen
, Suchuan Zhao

Department of Electrical Engineering

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

26 Citations (Scopus)

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.

Original language	English
Pages (from-to)	65-68
Journal	Latin American Applied Research
Volume	34
Issue number	1
Publication status	Published - Jan 2004

Research Keywords

Kuramoto-Sivashinsky equation
Solitary wave solutions
Travelling wave solutions

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title = "Exact travelling wave solutions to the generalized Kuramoto-Sivashinsky equation",

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.",

keywords = "Kuramoto-Sivashinsky equation, Solitary wave solutions, Travelling wave solutions",

author = "Changpin Li and Guanrong Chen and Suchuan Zhao",

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volume = "34",

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T1 - Exact travelling wave solutions to the generalized Kuramoto-Sivashinsky equation

AU - Li, Changpin

AU - Chen, Guanrong

AU - Zhao, Suchuan

PY - 2004/1

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N2 - 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.

AB - 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.

KW - Kuramoto-Sivashinsky equation

KW - Solitary wave solutions

KW - Travelling wave solutions

UR - https://www.scopus.com/pages/publications/1942540726

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-1942540726&origin=recordpage

M3 - RGC 21 - Publication in refereed journal

SN - 0327-0793

VL - 34

SP - 65

EP - 68

JO - Latin American Applied Research

JF - Latin American Applied Research

IS - 1

ER -

Exact travelling wave solutions to the generalized Kuramoto-Sivashinsky equation

Abstract

Research Keywords

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