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Chin. Phys. B, 2009, Vol. 18(2): 405-410    DOI: 10.1088/1674-1056/18/2/005
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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.
Keywords:  additional generating condition method      exact solutions      nonlinear reaction-diffusion equation  
Received:  03 July 2007      Revised:  02 November 2007      Accepted manuscript online: 
PACS:  05.60.-k (Transport processes)  
  02.30.Jr (Partial differential equations)  
  02.30.Hq (Ordinary differential equations)  
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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