EXACT TRAVELLING WAVE SOLUTIONS FOR THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION

IF 0.8 4区 工程技术 Q4 ENGINEERING, CHEMICAL Latin American Applied Research Pub Date : 2015-01-01 DOI:10.18642/jmsaa_7100121422
Jian Yang, Xiaojuan Lu, Shengqiang Tang
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引用次数: 15

Abstract

By using transformation , 2 3 2 1 u a u a a u + + = ′ ′ the method of sine-cosine and the method of dynamical bifurcation theory of the differentiable dynamics, we study the generalized Kuramoto-Sivashinsky equation. It is shown that the generalized Kuramoto-Sivashinsky equation gives solitary wave solution, solitary patterns wave solution, and periodic wave solution. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. All exact explicit parametric representations of the above waves are determined.
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广义kuramoto-sivashinsky方程的行波精确解
利用变换、2 3 2 1 ua ua a u + + = ' '、正弦-余弦方法和可微动力学的动力分岔理论方法,研究了广义Kuramoto-Sivashinsky方程。证明了广义Kuramoto-Sivashinsky方程给出了孤波解、孤型波解和周期波解。在不同的参数条件下,给出了保证上述解存在的各种充分条件。确定了上述波的所有精确的显式参数表示。
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来源期刊
Latin American Applied Research
Latin American Applied Research 工程技术-工程:化工
CiteScore
1.60
自引率
9.10%
发文量
54
审稿时长
>12 weeks
期刊介绍: Latin American Applied Research is dedicated to the rapid dissemination of high quality research communications in the scientific branches of Chemical Engineering, Applied Chemistry, Heat & Mass Transfer, Applied Mechanics and Control & Information Processing.
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