Soliton solutions, stability analysis and conservation laws for the brusselator reaction diffusion model with time- and constant-dependent coefficients

2018 ◽  
Vol 133 (5) ◽  
Author(s):  
Mustafa Inc ◽  
Abdullahi Yusuf ◽  
Aliyu Isa Aliyu ◽  
M. S. Hashemi
Keyword(s):  
Stability Analysis ◽  
Conservation Laws ◽  
Diffusion Model ◽  
Soliton Solutions ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model

scholarly journals New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function Method

2009 ◽  
Vol 2009 ◽  
pp. 1-9 ◽  
Author(s):  
F. Khani ◽  
F. Samadi ◽  
S. Hamedi-Nezhad
Keyword(s):  
Exact Solutions ◽  
Diffusion Model ◽  
Function Method ◽  
Soliton Solutions ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
New Exact Solutions ◽  
Nonlinear Reaction ◽  
Nonlinear Reaction Diffusion Equation ◽  
Reaction Diffusion Model

Firstly, using a series of transformations, the Brusselator reaction diffusion model is reduced into a nonlinear reaction diffusion equation, and then through using Exp-function method, more new exact solutions are found which contain soliton solutions. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The results show the reliability and efficiency of the proposed method.

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