Solitary Wave Solutions of the Benjamin-BonaMahoney-Burgers Equation with Dual Power-Law Nonlinearity

2017 ◽  
Vol 11 (5) ◽  
pp. 1347-1351 ◽  
Author(s):  
Mostafa M. A. Khater ◽  
Dianchen Lu ◽  
Emad H. M Zahran
Keyword(s):  
Solitary Wave ◽  
Power Law ◽  
Burgers Equation ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Dual Power

scholarly journals New Extension for Sub Equation Method and its Application to the Time-fractional Burgers Equation by using of Fractional Derivative

2017 ◽  
Vol 18 (2) ◽  
pp. 0225
Author(s):  
Ahmad Neirameh
Keyword(s):  
Solitary Wave ◽  
Fractional Derivative ◽  
Power Law ◽  
Fractional Differential Equations ◽  
Burgers Equation ◽  
Equation Method ◽  
Solitary Wave Solutions ◽  
Fractional Complex Transform ◽  
Wave Solutions ◽  
Fractional Differential

In this paper, we use the new fractional complex transform and the sub equation method to study the nonlinear fractional differential equations and find the exact solutions. These solitary wave solutions demonstrate the fact that solutions to the perturbed nonlinear Schrodinger equation with power law nonlinearity model can exhibit a variety of behaviors.

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