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)
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
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.
Received: 03 July 2007
Revised: 02 November 2007
Accepted manuscript online:
Fund: Project supported
by the Southwestern University of Finance and Economics (SWUFE) Key
Subject Construction Item Funds of the 211 Project (Grant No
211D3T06).
Cite this article:
Lai Shao-Yong(赖绍永), Guo Yun-Xi(郭云喜), Qing Yin(青音), and Wu Yong-Hong(吴永宏) The constructive technique and its application in solving a nonlinear reaction diffusion equation 2009 Chin. Phys. B 18 405
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