| 低模态下弱阻尼KdV方程约化形式的数值分析 |
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| 引用本文： | 田立新,储志俊,刘曾荣,蒋勇. 低模态下弱阻尼KdV方程约化形式的数值分析[J]. 应用数学和力学, 2000, 21(10): 1013-1020 |
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| 作者姓名： | 田立新 储志俊 刘曾荣 蒋勇 |
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| 作者单位： | 1.江苏理工大学数理系, 江苏镇江 212013; |
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| 基金项目： | 国家自然科学基金资助项目!(196 0 10 2 0，19872 0 4 4 )，江苏省青年科技基金资助项目!(BK97119，BQ980 2 3)，江苏省青蓝工程基金 |
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| 摘 要： | 给出了低模态下弱阻尼KdV方程近似惯性流形的约化形式,并在五模态下作数值分析,有关数值分析结果与非线性谱分析结果相类似
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| 关 键 词： | 周期边界条件 偏微分方程 动力系统 孤立波/近似惯性流形 |
| 收稿时间： | 1999-05-17 |
| 修稿时间： | 1999-05-17 |
Numerical Analysis of Longtime Dynamic Behavior in Weakly Damped Forced KdV Equation |
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| TIAN Li-xin,CHU Zhi-jun,LIU Zeng-rong,JIANG Yong. Numerical Analysis of Longtime Dynamic Behavior in Weakly Damped Forced KdV Equation[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1013-1020 |
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| Authors: | TIAN Li-xin CHU Zhi-jun LIU Zeng-rong JIANG Yong |
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| Affiliation: | 1.Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212013, P. R. China;2.Department of Mathematics, Wuxi University of Light and Industry, Wuxi, Jiangsu 214036, P. R. China;3.Department of Mathematics, Shanghai University, Jiading, Shanghai 201800, P. R. China;4.Department of Mathematics, Nanjing University of Science and Technology, Nanjing 210000, P. R. China |
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| Abstract: | The numerical analysis of the approximate inertial manifold in weakly damped forced KdV equation is given. The results of numerical analysis under five models is the same as that of nonlinear spectral analysis. |
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| Keywords: | periodic boundary conditions partial differential equation dynamical systems soliton/approximate inertial manifold |
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