中国物理B ›› 2009, Vol. 18 ›› Issue (2): 405-410.doi: 10.1088/1674-1056/18/2/005

• GENERAL • 上一篇    下一篇

The constructive technique and its application in solving a nonlinear reaction diffusion equation

赖绍永1, 郭云喜1, 青音1, 吴永宏2   

  1. (1)Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China; (2)Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia
  • 收稿日期:2007-07-03 修回日期:2007-11-02 出版日期:2009-02-20 发布日期:2009-02-20
  • 基金资助:
    Project supported by the Southwestern University of Finance and Economics (SWUFE) Key Subject Construction Item Funds of the 211 Project (Grant No 211D3T06).

The constructive technique and its application in solving a nonlinear reaction diffusion equation

Lai Shao-Yong(赖绍永)a)†, Guo Yun-Xi(郭云喜)a), Qing Yin(青音)a), and Wu Yong-Hong(吴永宏)b)   

  1. a Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China; b Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia
  • Received:2007-07-03 Revised:2007-11-02 Online:2009-02-20 Published:2009-02-20
  • Supported by:
    Project supported by the Southwestern University of Finance and Economics (SWUFE) Key Subject Construction Item Funds of the 211 Project (Grant No 211D3T06).

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摘要： A mathematical technique based on the consideration of a nonlinear partial differential equation together with an additional condition in the form of an ordinary differential equation is employed to study a nonlinear reaction diffusion equation which describes a real process in physics and in chemistry. Several exact solutions for the equation are acquired under certain circumstances.

Abstract: A mathematical technique based on the consideration of a nonlinear partial differential equation together with an additional condition in the form of an ordinary differential equation is employed to study a nonlinear reaction diffusion equation which describes a real process in physics and in chemistry. Several exact solutions for the equation are acquired under certain circumstances.

Key words: additional generating condition method, exact solutions, nonlinear reaction-diffusion equation

中图分类号:  (Transport processes)

  • 05.60.-k
02.30.Jr (Partial differential equations) 02.30.Hq (Ordinary differential equations)