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| 关于非线性浅水波理论中的孤立波解 | |
| 引用本文： | 忻孝康 许澄. 关于非线性浅水波理论中的孤立波解[J]. 水动力学研究与进展(A辑), 1992, 7(1): 13-19 |
| 作者姓名： | 忻孝康 许澄 |
| 作者单位： | 复旦大学应用力学系，复旦大学应用力学系 上海 200433，上海 200433 |
| 摘 要： | 本文在[1]的基础上,详尽地得到了Boussinesq方程和KdV方程的孤立波解,并对波高和波形进行了细致的分析。为了更好地比较,本文还给出了高阶摄动的孤立波解。 |
| 关 键 词： | 浅水波 孤立波 KdV方程 非线性 |
On the Solitary Wave Solution of Nonlinear Shallow Water Equations |
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| Xin Xiao-kang Xu Cheng. On the Solitary Wave Solution of Nonlinear Shallow Water Equations[J]. Chinese Journal of Hydrodynamics, 1992, 7(1): 13-19 | |
| Authors: | Xin Xiao-kang Xu Cheng |
| Abstract: | On the basis of reference [ 1 ], the solitary wave salutions of Boussinesq equation and KdV equation are obtained in detail. A detailed discussion on the profiles and the heights of the solitary waves is presentd, the solitary wave solution of higher approximation is given in the paper for comparison. |
| Keywords: | shallow water wave solitary wave Boussinesq equation KdV equation. |
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