The extended first kind elliptic sub-equation method and its application to the generalized reaction Duffing model

2005 ◽  
Vol 344 (2-4) ◽  
pp. 229-237 ◽  
Author(s):  
Ding-jiang Huang ◽  
Hong-qing Zhang
Keyword(s):  
Equation Method ◽  
Duffing Model

Fractional sub-equation method for the fractional generalized reaction Duffing model and nonlinear fractional Sharma-Tasso-Olver equation

Open Physics ◽  
2013 ◽  
Vol 11 (10) ◽  
Author(s):  
Hossein Jafari ◽  
Haleh Tajadodi ◽  
Dumitru Baleanu ◽  
Abdulrahim Al-Zahrani ◽  
Yahia Alhamed ◽  
...  
Keyword(s):  
Fractional Derivative ◽  
Exact Solutions ◽  
Equation Method ◽  
Duffing Model

AbstractIn this paper the fractional sub-equation method is used to construct exact solutions of the fractional generalized reaction Duffing model and nonlinear fractional Sharma-Tasso-Olver equation.The fractional derivative is described in the Jumarie’s modified Riemann-Liouville sense. Two illustrative examples are given, showing the accuracy and convenience of the method.

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