| KdV和KdV-Burgers方程的直接解法 |
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| 引用本文： | 谢元喜. KdV和KdV-Burgers方程的直接解法[J]. 内蒙古师范大学学报(自然科学版), 2007, 36(1): 6-9 |
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| 作者姓名： | 谢元喜 |
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| 作者单位： | 湖南理工学院,物理系,湖南,岳阳,414000 |
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| 摘 要： | 利用文献中引入的变换,将非线性偏微分方程化为非线性常微分方程,再直接求解该常微分方程,从而简洁地求得了KdV方程和KdV-Burgers方程的若干显式精确解析解,包括孤波解、奇异行波解等.
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| 关 键 词： | KdV方程 KdV-Burgers方程 直接解法 行波解 孤波解 |
| 文章编号： | 1000-8735（2007）01-0006-04 |
| 收稿时间： | 2006-08-04 |
| 修稿时间： | 2006-08-04 |
A Direct Method for Solving the KdV Equation and KdV-Burgers Equation |
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| XIE Yuan-xi. A Direct Method for Solving the KdV Equation and KdV-Burgers Equation[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 2007, 36(1): 6-9 |
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| Authors: | XIE Yuan-xi |
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| Affiliation: | Department of Physics, Hunan Institute of Science and Technology , Yue yang , Hunan 414000, China |
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| Abstract: | By using a transformation introduced formerly,a nonlinear partial differential equation was reduced to a nonlinear ordinary differential equation,and then solved directly.A series of explicit and exact analytical solutions to the KdV equation and KdV-Burgers equation,including solitary wave solutions and singular travelling wave solutions etc.,were derived easily. |
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| Keywords: | KdV equation KdV-Burgers equation direct approach travelling wave solution solitary wave solution |
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