scholarly journals Traveling Wave for Reaction Diffusion Equation with Spatio-Temporal Delay

2013 ◽  
Vol 56 (3) ◽  
pp. 507-517
Author(s):  
Zhihong Zhao ◽  
Erhua Rong
Keyword(s):  
Diffusion Equation ◽  
Traveling Wave ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Temporal Delay ◽  
Spatio Temporal

scholarly journals Some New Traveling Wave Solutions of the Nonlinear Reaction Diffusion Equation by Using the Improved (G′/G)-Expansion Method

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Hasibun Naher ◽  
Farah Aini Abdullah
Keyword(s):  
Diffusion Equation ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Reaction Diffusion ◽  
Expansion Method ◽  
Reaction Diffusion Equation ◽  
Wave Solutions ◽  
Nonlinear Reaction ◽  
Nonlinear Reaction Diffusion Equation ◽  
Constant Coefficients

We construct new exact traveling wave solutions involving free parameters of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method. The second-order linear ordinary differential equation with constant coefficients is used in this method. The obtained solutions are presented by the hyperbolic and the trigonometric functions. The solutions become in special functional form when the parameters take particular values. It is important to reveal that our solutions are in good agreement with the existing results.

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