The Wild Solutions of the Induced Form under the Spline Wavelet Basis in Weakly Damped Forced KdV Equation

Lin Yurui; Tian Lixin; Liu Zengrong

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(12): 1071-1076

Lin Yurui, Tian Lixin, Liu Zengrong. The Wild Solutions of the Induced Form under the Spline Wavelet Basis in Weakly Damped Forced KdV Equation[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1071-1076.

Citation:

PDF( 294 KB)

The Wild Solutions of the Induced Form under the Spline Wavelet Basis in Weakly Damped Forced KdV Equation

1.
Department of Basic Courses, Fujian Forestry Institue, Nanpin 353001, P. R. China;
2.
Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212013, P. R. China;
3.
Department of Mathematics, Shanghai University(Jiading), Shanghai 201800, P. R. China

Received Date: 1997-11-12
Publish Date: 1998-12-15

Abstract

Abstract

In the paper what is studied is the wild solution of the induced from under the spline wavelet basis in weakly damped forced KdV equation.
- wild solution,
- spline wavelet basis,
- weakly damped forced KdV(WDF KdV) equation,
- approximate inertial manifold(AIM),
- induced form

FullText(HTML)

References(7)

References

[1]	O.Goubet,Construction on approximate ineltial manifolds using wavelets,SIAM.J.Math.Anal.,9(1992),1455-1481.
[2]	田立新、徐振源,弱阻尼KdV方程中长期动力学行为的研究,应用数学和力学,18,10(1997),1021-1028.
[3]	卢殿臣、田立新、刘曾荣,扰动周期KdV方程的小波基分析,应用数学和力学,19,11(1998),1053-1058.
[4]	J.M.Ghidaglia,Weakly damped forced KdV equation behave as finite dimensional dynamical system in the longtime,J.Differential Equations,74(1988),369-300.
[5]	A.Debussche and M.Marion,On the constructure of families of approximate inertial manifolds,J.Differential Equations,100(1992),173-201.
[6]	C.K.Chui,An Introduction to Wavelet,Academic Press Inc.,USA(1992).
[7]	C.Foias,G.Sell and R.Temann,Inertial manifolds for nonlinear evolutionary equation,J.Differential Equations,73(1988),309-353.