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Some new exact solutions to the Burgers--Fisher equation and generalized Burgers--Fisher equation |
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| Authors: | Jiang Lu Guo Yu-Cui Xu Shu-Jiang |
| Affiliation: | Department of Science, Nanchang Institute of Technology, Nanchang 330099, China; School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; Shandong Computer Science Center, Jinan 250014, China |
| Abstract: | Some new exact solutions of the Burgers--Fisher equation andgeneralized Burgers--Fisher equation have been obtained by using thefirst integral method. These solutions include exponential functionsolutions, singular solitary wave solutions and some more complexsolutions whose figures are given in the article. The result showsthat the first integral method is one of the most effectiveapproaches to obtain the solutions of the nonlinear partialdifferential equations. |
| Keywords: | the first integral method Burgers--Fisher equation exact solutions |
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