| Fisher方程的孤子解 |
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| 引用本文： | 王秀清,田野,王增波.Fisher方程的孤子解[J].河北北方学院学报(自然科学版),2005,21(1):9-10,13. |
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| 作者姓名： | 王秀清 田野 王增波 |
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| 作者单位： | 河北北方学院物理系,河北,张家口,075000 |
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| 基金项目： | 河北省教育厅自然科学基金资助项目 (Z199701) |
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| 摘 要： | 利用一维波动方程的解具有行波解形式的特解的特点，给出行波解的形式．通过变量替换，再引入双曲正切函数作为独立变量，并利用双曲正切函数其独特的微分特性，给出一组变换，将Fisher方程简化为常微分方程，由此得出它的解．此解可做为物理学中非线性方程的实例．尽管不是所有的非线性波动方程都可以用此法来处理，但它缩短了线性和非线性波动理论之间的距离。
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| 关 键 词： | Fisher方程 孤子解 双曲正切函数 非线性波动方程 一维波动方程 常微分方程 非线性方程 变量替换 独立变量 波动理论 行波解 再引入 物理学 特解 距离 |
| 文章编号： | 1673-1492(2005)01-0009-02 |
Solitary Wave Solutions for Fisher Equation |
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| WANG Xiu-qing,TIAN Ye,WANG Zeng-bo.Solitary Wave Solutions for Fisher Equation[J].Journa of Hebei North University:Natural Science Edition,2005,21(1):9-10,13. |
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| Authors: | WANG Xiu-qing TIAN Ye WANG Zeng-bo |
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| Abstract: | In this paper, a traveling wave solution form is given by use of one dimentional undulant equation which has the characterics of traveling wave. A series of alternatives are given , Fisher equation is simplified into ordinary infinitesimal equation and its solution is obtained by alternating, introducing hypertangent as independent variable and making use of its infinitesimal connection. The solution can be considered as an instance of nonlinear equation in physics. The difference between linear undulant theory and nonlinear undulant theory can be reduced by using the method, but it isn't fit for all the nonlinear equations. |
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| Keywords: | nonlinear equation traveling wave solution alternate hypertangent |
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