| 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.
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| Fund Project:the Natural Science Foundation of Shandong Province (Y2006A27). |
| Author Name | Affiliation | | 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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