| 广义Burgers-Fisher方程的精确解 |
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| 引用本文： | 王明亮,白雪.广义Burgers-Fisher方程的精确解[J].兰州大学学报(自然科学版),1999,35(2):1-6. |
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| 作者姓名： | 王明亮 白雪 |
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| 作者单位： | 兰州大学数学系 |
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| 摘 要： | 利用齐次平衡原则导出Ｂｕｒｇｅｒｓ－Ｆｉｓｈｅｒ（ＢＦ）方程和广义Ｂｕｒｇｅｒｓ－Ｆｉｓｈｅｒ（ＧＢＦ）方程的若干非线性的函数变换，借助这些变换将ＢＦ和ＧＢＦ方程化为定线性方程组，从而得到若干含有任意参数的精确解，作为推论，也给出了Ｎｅｗｅｌｌ－Ｗｈｉｔｅｈｅａｄ方程的若干精确解。
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| 关 键 词： | 精确解 广义 B－F方程 非线性 热传导方程 |
| 修稿时间： | 1998-06-04 |
Exact Solutions for a Generalized Burgers Fisher Equation |
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| Wang Mingliang,Bai Xue.Exact Solutions for a Generalized Burgers Fisher Equation[J].Journal of Lanzhou University(Natural Science),1999,35(2):1-6. |
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| Authors: | Wang Mingliang Bai Xue |
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| Abstract: | 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. |
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| Keywords: | exact solution nonlinear function transformation homogeneous balance principle generalized Burgers Fisher equation Newell Whitehead equation |
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