Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (1): 113-125.

• Articles • Previous Articles     Next Articles

Existence of Traveling Fronts for General Reaction Systems with Nonlinear Di?usion

 MA Man-Jun1, HU Jian-Chao2, YANG Dao-Ming2   

  1. 1. College of Sciences, China Jiliang University, Hangzhou 310018;
    2.School of Mathematics and Physics, University of South China, Hunan Hengyang 421001
  • Received:2009-10-08 Revised:2011-05-10 Online:2012-02-25 Published:2012-02-25
  • Supported by:

    教育部留学归国人员科研启动基金和浙江省自然科学基金(Y6100166)资助

Abstract:

In this paper, the authors use the perturbation method to investigate the existence of traveling fronts for a general reaction system with nonlinear di?usion. Su?cient conditions for the existence of traveling wavefronts are obtained, which make the results in the related references derived easily. As an application the authors employ the obtained results to show the existence of traveling fronts for a specific reaction-di?usion system.

Key words: Nonlinear diffusion, General reaction terms, Traveling fronts.

CLC Number: 

  • 34A34
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