数学物理学报 ›› 2012, Vol. 32 ›› Issue (1): 113-125.

• 论文 • 上一篇    下一篇

具非线性扩散一般反应系统的行波解存在性

马满军1, 胡建超2, 杨道明2   

  1. 1.中国计量学院 |数学系 杭州 310018|2.南华大学 数理学院 湖南衡阳 421001
  • 收稿日期:2009-10-08 修回日期:2011-05-10 出版日期:2012-02-25 发布日期:2012-02-25
  • 基金资助:

    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

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

摘要:

该文利用扰动方法研究具非线性扩散项及一般形式反应项系统行波解的存在性. 得到该类系统存在行波解的充分条件, 使得相关参考文献的结果成为本文主要定理的推论. 作为应用给出了一类具体的反应扩散系统行波解的存在性条件.

关键词: 非线性扩散, 一般反应项, 行波解

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.

中图分类号: 

  • 34A34