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AUTO-DARBOUX TRANSFORMATION AND EXACT SOLUTIONS OF THE BRUSSELATOR REACTION DIFFUSION MODEL
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2001
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Auto-darboux TransformationPhysicsDiffusion ProcessSeveral Exact SolutionsMore Exact SolutionsAnomalous DiffusionDiffusion-based ModelingIntegrable SystemStochastic Differential EquationChemical Kinetics
Firstly, using the improved homogeneous balance method, an auto-Darboux transformation (ADT) for the Brusselator reaction diffusion model is found. Based on the ADT, several exact solutions are obtained which contain some authors' results known.Secondly, by using a series of transformations, the model is reduced into a nonlinear reaction diffusion equation and then through using sine- cosine method, more exact solutions are found which contain soliton solutions.