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

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 Jimho-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. [ABSTRACT FROM AUTHOR]