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Auto-darboux transformation and exact solutions of the Brusselator reaction diffusion model

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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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Authors and Affiliations

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

    Yan Zhen-ya & Zhang Hong-qing

Authors
  1. Yan Zhen-ya
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  2. Zhang Hong-qing
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Additional information

Paper from ZHANG Hong-qing, Member of Editorial of Committee, AMM

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

Biography: YAN Zhen-ya(1974-), Doctor

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Zhen-ya, Y., Hong-qing, Z. Auto-darboux transformation and exact solutions of the Brusselator reaction diffusion model. Appl Math Mech 22, 541–546 (2001). https://doi.org/10.1007/BF02437743

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  • DOI: https://doi.org/10.1007/BF02437743

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