广义kuramoto-sivashinsky方程的行波精确解

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

摘要

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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EXACT TRAVELLING WAVE SOLUTIONS FOR THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION

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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来源期刊

Latin American Applied Research 工程技术-工程：化工

CiteScore

1.60

自引率

9.10%

发文量

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.