摘要
利用齐次平衡原则导出Ｂｕｒｇｅｒｓ－Ｆｉｓｈｅｒ（ＢＦ）方程和广义Ｂｕｒｇｅｒｓ－Ｆｉｓｈｅｒ（ＧＢＦ）方程的若干非线性函数变换，借助这些变换将ＢＦ和ＧＢＦ方程化为过定线性方程组，从而得到其若干含有任意参数的精确解．作为推论。
Several nonlinear function transformations for a Burgers Fisher equation(BFE) and a generalized Burgers Fisher equation(GBFE) are derived by using the homogeneous balance principle, the BFE and GBFE are reduced to some overdetermined linear equations by means of the transformations.Several exact solutions containing some parameters for the BFE and GBFE are given,and as a consequence,several exact solutions for the Newell Whitehead equation are also obtained.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
1999年第2期1-6,共6页
Journal of Lanzhou University(Natural Sciences)
基金
甘肃省自然科学基金
关键词
精确解
广义
B-F方程
非线性
热传导方程
exact solution
nonlinear function transformation
homogeneous balance principle
generalized Burgers Fisher equation
Newell Whitehead equation
