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A direct algorithm of exp-function method for non-linear evolution equations in fluids

By Zhang Sheng, Li Jiahong and Zhang Luyao

Abstract

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

Topics: exp-function method, exact solution, Korteweg-de Vries equation, Jimbo-Miwa equation, Mechanical engineering and machinery, TJ1-1570
Publisher: VINCA Institute of Nuclear Sciences
Year: 2016
DOI identifier: 10.2298/TSCI1603881Z
OAI identifier: oai:doaj.org/article:5d1c9045fa1c4be089b237a249ea7427
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