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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 and Xu Shu-Jiang |
| Institution: | 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 and generalized Burgers--Fisher equation have been obtained by using the first integral method. These solutions include exponential function solutions, singular solitary wave solutions and some more complex solutions whose figures are given in the article. The result shows that the first integral method is one of the most effective approaches to obtain the solutions of the nonlinear partial differential equations. |
| Keywords: | the first integral method Burgers--Fisher equation exact solutions |
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