| 二阶Boussinesq方程的孤立波解 |
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| 引用本文： | 林建国,邱大洪.二阶Boussinesq方程的孤立波解[J].海洋与湖沼,2001,32(3):334-339. |
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| 作者姓名： | 林建国 邱大洪 |
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| 作者单位： | 1. 大连海事大学海洋环境工程学院
2. 大连理工大学 |
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| 基金项目： | 国家自然科学基金!资助项目，5983 93 3 0号 |
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| 摘 要： | 基于同量阶迭代法，在保留同阶面的前提下，对林建国等（1998a)得到的二阶Boussinesq类方程进行了求解，得到了与其量阶相对应的取立波解，并春与Euler方程的二阶孤立波解进行了比较，结果显示，本文解比传统Boussinesq方程的孤立波解有明显的改善，扩大了孤立的适用范围。
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| 关 键 词： | 二阶Boussinesq方程 孤立波 波浪 色散性 同量阶迭代法 |
| 收稿时间： | 1999/3/15 0:00:00 |
| 修稿时间： | 1999年3月15日 |
SOLITARY WAVE SOLUTION TO SECOND-ORDER BOUSSINESQ EQUATIONS |
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| LIN Jian Guo and QIU Da Hong.SOLITARY WAVE SOLUTION TO SECOND-ORDER BOUSSINESQ EQUATIONS[J].Oceanologia Et Limnologia Sinica,2001,32(3):334-339. |
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| Authors: | LIN Jian Guo and QIU Da Hong |
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| Institution: | Institute of Marine Environment,Dalian Maritime University,Dalian,116026;State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology Dalian,116024 |
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| Abstract: | Based on the method of iteration with the same order,the solitary wave solution to Boussinesq equations with the second order nonlinear and dispersive terms has been obtained in this paper. A comparison with the second order solitary wave solution to Euler equations shows that the solution obtained in the present paper is the more reasonable than the solitary wave solution to the traditional Boussinesq equations. The results of the present paper extend the applicable range of the solitary wave,enrich the theory of the marine wave dynamics,and provide the exact initial boundary conditions for solving numerically the second order Boussinesq equations. |
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| Keywords: | Nonlinear Second order Boussinesq equations Solitary wave |
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