Application of Optimal Homotopy Analysis Method for Solitary Wave Solutions of Kuramoto-Sivashinsky Equation

被引：1

作者：

Wang, Qi ^{[1
]}

机构：

[1] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2011年 / 66卷 / 1-2期

关键词：

Kuramoto-Sivashinsky Equation; Optimal Homotopy Analysis Method; Solitary Wave Solution; APPROXIMATE SOLUTION TECHNIQUE; SMALL PARAMETERS; FLUID; FLOW;

D O I：

10.1515/zna-2011-1-216

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this paper, the optimal homotopy analysis method is applied to find the solitary wave solutions of the Kuramoto-Sivashinsky equation. With three auxiliary convergence-control parameters, whose possible optimal values can be obtained by minimizing the averaged residual error, the method used here provides us with a simple way to adjust and control the convergence region of the solution. Compared with the usual homotopy analysis method, the optimal method can be used to get much faster convergent series solutions.

引用

页码：117 / 122

页数：6

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