A new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method

2012 ◽  
Vol 219 (4) ◽  
pp. 1890-1896 ◽  
Author(s):  
Lei Zhao ◽  
Dingjiang Huang ◽  
Shuigeng Zhou
Keyword(s):  
Partial Differential Equations ◽  
Solitary Wave ◽  
Differential Equations ◽  
Function Method ◽  
Nonlinear Partial Differential Equations ◽  
Solitary Wave Solutions ◽  
Partial Differential ◽  
Automatic Computation ◽  
Wave Solutions

Extended tanh-Function Method for Finding Travelling Wave Solutions of Some Nonlinear Partial Differential Equations

2005 ◽  
Vol 60 (1-2) ◽  
pp. 7-16 ◽  
Author(s):  
Mustafa Inc ◽  
Engui G. Fan
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Function Method ◽  
Nonlinear Partial Differential Equations ◽  
Travelling Wave ◽  
Nonlinear Pdes ◽  
Travelling Wave Solutions ◽  
Partial Differential ◽  
Wave Solutions

In this paper, we find travelling wave solutions of some nonlinear partial differential equations (PDEs) by using the extended tanh-function method. Some illustrative equations are investigated by this method and new travelling wave solutions are found. In addition, the properties of these nonlinear PDEs are shown with some figures.

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