| 扩散方程的孤子解法 |
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| 引用本文： | 王增波,刘景波,孟旭东.扩散方程的孤子解法[J].河北北方学院学报(自然科学版),2005,21(6):22-24. |
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| 作者姓名： | 王增波 刘景波 孟旭东 |
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| 作者单位： | 1. 河北北方学院物理系,河北,张家口,075028
2. 河北工程学院理学院,河北,邯郸,056038 |
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| 摘 要： | 利用一维波动方程行波解的形式，通过变量替换．再引入双曲正切函数作为独立变量并利用其独特的微分关系给变换，将扩散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百丁以用此法来处理．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： | 非线性方程 行波解 变换 双曲正切函数 |
| 文章编号： | 1673-1492(2005)06-0022-03 |
| 收稿时间： | 10 19 2005 12:00AM |
| 修稿时间： | 2005年10月19 |
Soliton Solution of Reaction-Diffusion Equation |
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| WANG Zeng-bo,LIU Jing-bo,MENG Xu-dong.Soliton Solution of Reaction-Diffusion Equation[J].Journa of Hebei North University:Natural Science Edition,2005,21(6):22-24. |
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| Authors: | WANG Zeng-bo LIU Jing-bo MENG Xu-dong |
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| Institution: | 1. Department of Physics, Hebei North University, Zhangjiakou, Hebei 075028, China; 2. College of Sciences. Hebei University of Engineering, Handan, Hebei 056038, China |
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| Abstract: | The article makes use of traveling wave solution of one dimentional undulant equation, a series of alternation is given by alternating and introducing hypertangent as a new variable, and then makes use of its infinitesimal connections, reaction-diffusion equation be simplified into ordinary infinitesimal equation and its solution is obtained. The solution can be an instance of nonlinear equation in physics. The treatment method is not fit for all of nonlinear equations, but the distance between linear undulant theory and nonlinear undulant theory is shortened. |
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| Keywords: | nonlinear equation traveling wave solution ahernate hypertangent |
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