Dahe Feng

Exact Solutions of Kuramoto-Sivashinsky Equation

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Author(s)

Dahe Feng ^1,2,*

1. School of Mathematical Science and Computing Technology, Central South University Changsha, China

2. School of Mathematics and Computing Science Guilin University of Electronic Technology Guilin, China

* Corresponding author.

DOI: https://doi.org/10.5815/ijeme.2012.06.11

Received: 7 Mar. 2012 / Revised: 19 Apr. 2012 / Accepted: 22 May 2012 / Published: 29 Jun. 2012

Index Terms

Kuramoto-Sivashinsky equation, auxiliary Riccati equation method, exact solution, kink wave solution, periodic wave solution

Abstract

Many nonlinear partial differential equations admit traveling wave solutions that move at a constant speed without changing their shapes. It is very important and difficult to search the exact travelling wave solutions.In this work, the auxiliary Riccati equation method and the computer symbolic system Maple are used to study exact solutions for the nonlinear Kuramoto-Sivashinsky equation. Maple can help us solve tedious algebraic calculation. Therefore many exact traveling wave solutions are successfully obtained which include some new kink (or anti-kink) wave solutions and periodic wave solutions.

Cite This Paper

Dahe Feng,"Exact Solutions of Kuramoto-Sivashinsky Equation", IJEME, vol.2, no.6, pp.61-66, 2012. DOI: 10.5815/ijeme.2012.06.11

Reference

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International Journal of Education and Management Engineering (IJEME)