New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function Method
Author(s) -
F. Khani,
Fereshteh Samadi,
S. Hamedi-Nezhad
Publication year - 2009
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2009/346461
Subject(s) - brusselator , reaction–diffusion system , diffusion , series (stratigraphy) , mathematics , function (biology) , soliton , reliability (semiconductor) , nonlinear system , mathematical analysis , physics , thermodynamics , quantum mechanics , paleontology , power (physics) , evolutionary biology , biology
Firstly, using a series of transformations, the Brusselator reaction diffusionmodel is reduced into a nonlinear reaction diffusion equation, and then throughusing Exp-function method, more new exact solutions are found which containsoliton solutions. The suggested algorithm is quite efficient and is practicallywell suited for use in these problems. The results show the reliability andefficiency of the proposed method
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