AUTO-DARBOUX TRANSFORMATION AND EXACT SOLUTIONS OF THE BRUSSELATOR REACTION DIFF

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AUTO-DARBOUX TRANSFORMATION AND EXACT SOLUTIONS OF THE BRUSSELATOR REACTION DIFFUSION MODEL

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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作 者: 闫振亚 张鸿庆  
作者单位:Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P R China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2001 22(5) 
分类号:O175.29 
关键词:Brusselator reaction model   Darboux transformation   homogeneous balance method   sine-cosine method   exact solution  
机标关键词:DIFFUSION MODELexact solutionsreaction diffusion equationhomogeneous balance methodsoliton solutionsdiffusion model 
基金项目:国家自然科学基金,NKBRD of China,Doctor Foundation of Education Commission of China 
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