Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (5): 541-546.

• Articles • Previous Articles     Next Articles

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

YAN Zhen-ya, ZHANG Hong-qing   

  1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China
  • Received:1999-11-01 Revised:2000-12-18 Online:2001-05-18 Published:2001-05-18
  • Supported by:

    the National Natural Science Foundation of China(19572022);the NKBRD of China(G1998030600);the Doctor Foundation of Education Commission of China(98014119)

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.

2010 MSC Number: 

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