A DIRECT ALGORITHM OF EXP-FUNCTION METHOD FOR NON-LINEAR EVOLUTION EQUATIONS IN FLUIDS

被引：27

作者：

Zhang, Sheng ^{[1
]}

Li, Jiahong ^{[1
]}

Zhang, Luyao ^{[1
]}

机构：

[1] Bohai Univ, Sch Math & Phys, Jinzhou, Peoples R China

来源：

THERMAL SCIENCE | 2016年 / 20卷 / 03期

关键词：

exp-function method; exact solution; Korteweg-de Vries equation; Jimbo-Miwa equation; SOLITARY;

D O I：

10.2298/TSCI1603881Z

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper, a direct algorithm of the exp-function method is proposed for exactly solving non-linear evolution equations. To illustrate the validity and advantages of the algorithm, the Korteweg-de Vries and Jimbo-Miwa equations are considered. As a result, exact solutions are obtained. It is shown that the exp-function method with the direct algorithm provides a simpler but effective mathematical tool for constructing exact solutions of non-linear evolution equations in fluids.

引用

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页码：881 / 884

页数：4

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