The Initial-Value Problem for Certain Non-Linear Evolution Equations

1967 ◽  
Vol 89 (2) ◽  
pp. 249 ◽  
Author(s):  
Walter A. Strauss
2016 ◽  
Vol 20 (3) ◽  
pp. 881-884 ◽  
Author(s):  
Sheng Zhang ◽  
Jiahong Li ◽  
Luyao Zhang

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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