Auto-Darboux Transformation and Exact Solutions of the Brusselator Reaction Diffusion

YAN Zhen-ya; ZHANG Hong-qing

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YAN Zhen-ya, ZHANG Hong-qing. Auto-Darboux Transformation and Exact Solutions of the Brusselator Reaction Diffusion[J]. Applied Mathematics and Mechanics, 2001, 22(5): 477-482.

Citation:

YAN Zhen-ya, ZHANG Hong-qing. Auto-Darboux Transformation and Exact Solutions of the Brusselator Reaction Diffusion[J]. Applied Mathematics and Mechanics, 2001, 22(5): 477-482.

Citation:

YAN Zhen-ya, ZHANG Hong-qing. Auto-Darboux Transformation and Exact Solutions of the Brusselator Reaction Diffusion[J]. Applied Mathematics and Mechanics, 2001, 22(5): 477-482.

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Auto-Darboux Transformation and Exact Solutions of the Brusselator Reaction Diffusion

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P R China

Received Date: 1999-11-01
Rev Recd Date: 2000-12-18
Publish Date: 2001-05-15

Abstract

Abstract

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.
- Brusselator reaction model,
- Darboux transformation,
- homogeneous balance method,
- sine-cosine method

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References(12)

References

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