| Burgers方程的精确孤立波解的符号计算 |
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| 引用本文： | 闻小永.Burgers方程的精确孤立波解的符号计算[J].动力学与控制学报,2008,6(1):12-15. |
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| 作者姓名： | 闻小永 |
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| 作者单位： | 北京信息科技大学理学院数学系,北京,100085 |
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| 摘 要： | 借助于符号计算Maple,给出了一种构造非线性波动方程行波解的直接代数方法,该方法的主要特点是充分利用Riccati方程.使用此方法得到Burgers方程的多组精确行波解,其中包括一些新的孤立波解,这种方法也适用于求解其它的非线性波动方程（组）.
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| 关 键 词： | Burgers方程 Riccati方程 孤立波解 符号计算 |
| 文章编号： | 1672-6533/2008/06(l)/012-04 |
| 收稿时间： | 2007/4/16 0:00:00 |
| 修稿时间： | 2007年4月16日 |
Exact solitary wave solutions of Burgers equation using symbolic computation |
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| Wen Xiaoyong.Exact solitary wave solutions of Burgers equation using symbolic computation[J].Journal of Dynamics and Control,2008,6(1):12-15. |
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| Authors: | Wen Xiaoyong |
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| Affiliation: | Department of Mathematics;College of Sciences;Beijing Information Technology university;Beijing 100085;China |
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| Abstract: | With the aid of the symbolic computation system Maple,a direct algebraic method for constructing the traveling wave solutions to nonlinear wave equations was presented,and the main idea of this method was to take full advantage of the Riccati equation.Using this method,many kinds of traveling wave solutions including new solitary wave solutions were obtained for Burgers equation.So,this method can also be applied to solve other nonlinear wave equations. |
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| Keywords: | Burgers equation Riccati equation solitary wave solutions symbolic computation |
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