3D solutions of non-linear evolution equations with diffusion

1984 ◽  
Vol 45 (3) ◽  
pp. 435-439 ◽  
Author(s):  
H. Wilhelmsson
Keyword(s):  
Evolution Equations ◽  
Linear Evolution ◽  
Non Linear ◽  
Linear Evolution Equations

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

2016 ◽  
Vol 20 (3) ◽  
pp. 881-884 ◽  
Author(s):  
Sheng Zhang ◽  
Jiahong Li ◽  
Luyao Zhang
Keyword(s):  
Exact Solutions ◽  
Function Method ◽  
Evolution Equations ◽  
Mathematical Tool ◽  
Direct Algorithm ◽  
Linear Evolution ◽  
Non Linear ◽  
De Vries ◽  
Linear Evolution Equations

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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