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.
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页码：881 / 884
页数：4
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