## THERMAL SCIENCE

International Scientific Journal

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

**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.

**KEYWORDS**

PAPER SUBMITTED: 2015-11-30

PAPER REVISED: 2015-12-18

PAPER ACCEPTED: 2015-12-19

PUBLISHED ONLINE: 2016-08-13

**THERMAL SCIENCE** YEAR

**2016**, VOLUME

**20**, ISSUE

**3**, PAGES [881 - 884]

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