Auto-Darboux Transformation and Exact Solutions of the Brusselator Reaction Diffusion
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摘要: 首先用改进的齐次平衡法,获得了Brusselator反应扩散模型的Auto-Darboux变换(ADT)。基于这个ADT,若干精确解被得到,其中包括一些作者的已知结果。然后,通过用一系列变换,这个模型约化为一个非线性反应扩散方程。再采用sine-consine方法,获得了更多的精确解,其中包括新的孤子解。
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关键词:
- Brusselator反应模型 /
- Darboux变换 /
- 精确解 /
- 孤子解
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. -
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