NUMERICAL ANALYSIS OF LONGTIME DYNAMIC BEHAVIOR IN WEAKLY DAMPED FORCED KdV EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (10): 1123-1130.

NUMERICAL ANALYSIS OF LONGTIME DYNAMIC BEHAVIOR IN WEAKLY DAMPED FORCED KdV EQUATION

田立新¹, 储志俊², 刘曾荣³, 蒋勇⁴

1. Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212013, P. R. China;
2. Department of Mathematics, Wuxi University of Light and Industry, Wuxi 214036, P. R. China;
3. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China;
4. Department of Mathematics, Nanjing University of Science and Technology, Nanjing 210000, P. R. China

收稿日期:1999-05-17 修回日期:2000-05-10 出版日期:2000-10-18 发布日期:2000-10-18
基金资助:
the National Natural Science Foundation of China(19601020,19872044);the Youth Science and Technology Foundation of Jiangsu Province(BQ98023,BK97119);the Jiangsu Province Blue-Green Foundation

NUMERICAL ANALYSIS OF LONGTIME DYNAMIC BEHAVIOR IN WEAKLY DAMPED FORCED KdV EQUATION

TIAN Li-xin¹, CHU Zhi-jun², LIU Zeng-rong³, JIANG Yong⁴

1. Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212013, P. R. China;
2. Department of Mathematics, Wuxi University of Light and Industry, Wuxi 214036, P. R. China;
3. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China;
4. Department of Mathematics, Nanjing University of Science and Technology, Nanjing 210000, P. R. China

Received:1999-05-17 Revised:2000-05-10 Online:2000-10-18 Published:2000-10-18
Supported by:
the National Natural Science Foundation of China(19601020,19872044);the Youth Science and Technology Foundation of Jiangsu Province(BQ98023,BK97119);the Jiangsu Province Blue-Green Foundation

摘要/Abstract

摘要： 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.

关键词: periodic boundary conditions, partial differential equation, dynamical systems, soliton/approximate inertial manifold

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.

Key words: periodic boundary conditions, partial differential equation, dynamical systems, soliton/approximate inertial manifold

中图分类号:

O175.29

田立新;储志俊;刘曾荣;蒋勇. NUMERICAL ANALYSIS OF LONGTIME DYNAMIC BEHAVIOR IN WEAKLY DAMPED FORCED KdV EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(10): 1123-1130.

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 (English Edition), 2000, 21(10): 1123-1130.

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NUMERICAL ANALYSIS OF LONGTIME DYNAMIC BEHAVIOR IN WEAKLY DAMPED FORCED KdV EQUATION

NUMERICAL ANALYSIS OF LONGTIME DYNAMIC BEHAVIOR IN WEAKLY DAMPED FORCED KdV EQUATION

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