高等学校化学学报 ›› 2006, Vol. 27 ›› Issue (1): 89-91.

• 研究论文 • 上一篇    下一篇

三变量反应扩散方程的空间周期解析解

吕翎, 李钢   

  1. 辽宁师范大学物理系, 大连 116029
  • 收稿日期:2005-01-17 出版日期:2006-01-10 发布日期:2006-01-10
  • 通讯作者: 吕翎(1960年出生), 女, 教授, 主要从事物理化学中的非线性理论研究. E-mail: lshdg@sina.com.cn
  • 基金资助:

    国家自然科学基金(批准号: 10175032)及辽宁省自然科学基金(批准号: 2050790)资助

Spatial Periodic Analytic Solution for Three Variable
Reaction-diffusion Equations

 LV Ling, LI Gang   

  1. Department of Physics, Liaoning Normal University, Dalian 116029, China
  • Received:2005-01-17 Online:2006-01-10 Published:2006-01-10
  • Contact: LV Ling, E-mail: lshdg@sina.com.cn

摘要:

对三变量反应扩散方程进行了稳定性分析, 确定了反应系统失稳后出现空间周期有序结构时系统的可调参数μ的临界值μc. 求出了空间周期解析解的表达式, 此结果与实验结果相符.

关键词: 扩散效应; 稳定性分析; 有序结构; 空间周期解析解

Abstract:

The stability of three variable reaction-diffusion equations was analyzed. The critical value μc was ascertained when the reaction system changes from the stable state to the unstable state by adjusting parameter μ, and the system takes on a spatial periodic order structure. The analytic solution describing the spatial period was obtained and it is accordant with experimental result.

Key words: Diffusion effect; Stability analysis; Order structure; Spatial periodic analytic solution

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