WAVELET BASIS ANALYSIS IN PERTURBED PERIODIC KdV EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (11): 1053-1058.

WAVELET BASIS ANALYSIS IN PERTURBED PERIODIC KdV EQUATION

卢殿臣¹, 田立新¹, 刘曾荣²

1. Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212013, P. R. China;
2. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China

收稿日期:1997-08-11 出版日期:1998-11-18 发布日期:1998-11-18
基金资助:
Project supported by the National Natural Science Foundation of China (No: 19601020) and by the Natural Science Foundation of Jiangsu Province

WAVELET BASIS ANALYSIS IN PERTURBED PERIODIC KdV EQUATION

Lu Dianchen¹, Tian Lixin¹, Liu Zengrong²

1. Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212013, P. R. China;
2. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China

Received:1997-08-11 Online:1998-11-18 Published:1998-11-18
Supported by:
Project supported by the National Natural Science Foundation of China (No: 19601020) and by the Natural Science Foundation of Jiangsu Province

摘要/Abstract

摘要： In the paper by using the spline wavelet basis to constructr the approximate inertial manifold, we study the longtime behavior of perturbed perodic KdV equation.

关键词: wavelet basis, approximate inertial manifold, perturbed periodic KdV equation

Abstract: In the paper by using the spline wavelet basis to constructr the approximate inertial manifold, we study the longtime behavior of perturbed perodic KdV equation.

Key words: wavelet basis, approximate inertial manifold, perturbed periodic KdV equation

卢殿臣;田立新;刘曾荣. WAVELET BASIS ANALYSIS IN PERTURBED PERIODIC KdV EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(11): 1053-1058.

Lu Dianchen;Tian Lixin;Liu Zengrong. WAVELET BASIS ANALYSIS IN PERTURBED PERIODIC KdV EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(11): 1053-1058.

[1]	田立新;许伯强;刘曾荣. WAVELET APPROXIMATE INERTIAL MANIFOLD AND NUMERICAL SOLUTION OF BURGERS' EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(10): 1140-1152.
[2]	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.
[3]	侯延仁;李开泰. A SIMPLE POSTPROCESS PROCEDURE FOR GALERKIN METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 79-86.
[4]	王宗信;范先令;朱正佑. CONVERGENT FAMILIES OF APPROXIMATE INERTIAL MANIFOLDS FOR NONAUTONOMOUS EVOLUTION EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(8): 765-775.
[5]	林玉蕊;田立新;刘曾荣. THE WILD SOLUTIONS OF THE INDUCED FORM UNDER THE SPLINE WAVELET BASIS IN WEAKLY DAMPED FORCED KdV EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(12): 1161-1166.
[6]	徐振源;田立新. THE RESEARCH OF LONGTIME DYNAMIC BEHAVIOR IN WEAKLY DAMPED FORCED KdV EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(10): 1021-1028.
[7]	蔡日增;徐振源. APPROXIMATE INERTIAL MANIFOLDS FOR THE SYSTEM OF THE J-J EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(4): 341-349.

WAVELET BASIS ANALYSIS IN PERTURBED PERIODIC KdV EQUATION

WAVELET BASIS ANALYSIS IN PERTURBED PERIODIC KdV EQUATION

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 7

编辑推荐

Metrics

本文评价