Brusselator反应扩散模型的Auto-Darboux变换和精确解

闫振亚; 张鸿庆

Brusselator反应扩散模型的Auto-Darboux变换和精确解

大连理工大学应用数学系, 大连 116024

基金项目: 国家自然科学基金资助项目(19572022);国家重点基础研究发展规划资助项目(G1998030600);教育部博士点基金资助项目(98014119)

详细信息

作者简介:
闫振亚(1974-),男,河南上蔡人,博士.

中图分类号: O175.29
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- 被引次数: 0
出版历程
- 收稿日期: 1999-11-01
- 修回日期: 2000-12-18
- 刊出日期: 2001-05-15

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

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

摘要

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

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参考文献(12)

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