Exact Solutions for a Kind of Reaction Diffusion Equations
Received:June 27, 2005  Revised:November 05, 2006
Key Words: reaction diffusion equations   first integral method   exact solutions.  
Fund Project:the Natural Science Foundation of Shandong Province (Y2006A27).
Author NameAffiliation
XU Shu-jiang Shandong Computer Science Center, Shandong 250014, China
School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China 
GUO Yu-cui School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China 
LI Hua-ying School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China 
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Abstract:
      Applying a new method called the first integral method, we obtain some exact solutions of a kind of reaction diffusion equations $u_t - u_{xx} + \alpha\, u + \beta\, u^2 + \gamma\, u^3 = 0$. These solutions not only include the soliton solutions that obtained in the previous literature, but also include some new exact solutions.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.04.038
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