Some new exact solutions to the Burgers--Fisher equation and generalized Burgers--Fisher equation

doi:10.1088/1009-1963/16/9/005

中国物理B ›› 2007, Vol. 16 ›› Issue (9): 2514-2522.doi: 10.1088/1009-1963/16/9/005

Some new exact solutions to the Burgers--Fisher equation and generalized Burgers--Fisher equation

姜璐¹, 郭玉翠², 徐淑奖³

(1)Department of Science, Nanchang Institute of Technology, Nanchang 330099, China;School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; (2)School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; (3)Shandong Computer Science Center, Jinan 250014, China

收稿日期:2006-08-31 修回日期:2007-03-30 出版日期:2007-09-20 发布日期:2007-09-20

Some new exact solutions to the Burgers--Fisher equation and generalized Burgers--Fisher equation

Jiang Lu(姜璐)^a)b)^†, Guo Yu-Cui(郭玉翠)^b), and Xu Shu-Jiang(徐淑奖)^c)

^a Department of Science, Nanchang Institute of Technology, Nanchang 330099, China^b School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; ^c Shandong Computer Science Center, Jinan 250014, China

Received:2006-08-31 Revised:2007-03-30 Online:2007-09-20 Published:2007-09-20

摘要/Abstract

摘要： 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.

关键词: the first integral method, Burgers--Fisher equation, exact solutions

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.

Key words: the first integral method, Burgers--Fisher equation, exact solutions

中图分类号: (Solitons)

05.45.Yv

02.30.Jr (Partial differential equations)

姜璐, 郭玉翠, 徐淑奖. Some new exact solutions to the Burgers--Fisher equation and generalized Burgers--Fisher equation[J]. 中国物理B, 2007, 16(9): 2514-2522.

Jiang Lu(姜璐), Guo Yu-Cui(郭玉翠), and Xu Shu-Jiang(徐淑奖). Some new exact solutions to the Burgers--Fisher equation and generalized Burgers--Fisher equation[J]. Chinese Physics, 2007, 16(9): 2514-2522.

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Some new exact solutions to the Burgers--Fisher equation and generalized Burgers--Fisher equation

Some new exact solutions to the Burgers--Fisher equation and generalized Burgers--Fisher equation

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