The Research of Longtime Dynamic Behavior in Weakly Damped Forced KdV Equation

Tian Lixin; Xu Zhenyuan

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Tian Lixin, Xu Zhenyuan. The Research of Longtime Dynamic Behavior in Weakly Damped Forced KdV Equation[J]. Applied Mathematics and Mechanics, 1997, 18(10): 953-958.

Citation:

Tian Lixin, Xu Zhenyuan. The Research of Longtime Dynamic Behavior in Weakly Damped Forced KdV Equation[J]. Applied Mathematics and Mechanics, 1997, 18(10): 953-958.

Citation:

Tian Lixin, Xu Zhenyuan. The Research of Longtime Dynamic Behavior in Weakly Damped Forced KdV Equation[J]. Applied Mathematics and Mechanics, 1997, 18(10): 953-958.

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The Research of Longtime Dynamic Behavior in Weakly Damped Forced KdV Equation

Tian Lixin¹,
Xu Zhenyuan²

1.
Department of Mathematics and Physics Jiangsu University of Science and Technology, Zhenjiang 212013, P. R. China;
2.
Wuxi Light Industry Institute, Wuxi 214000, P. R. China

Received Date: 1995-10-05
Rev Recd Date: 1996-11-04
Publish Date: 1997-10-15

Abstract

Abstract

It is presented that there exists approximate inertial manifolds in weakly damped forced Kdv equation with with periodic boundary conditionsIIbns.The approximate inertial manifolds provide approximant of the attractror by finite dimensional smooth manifolds which are exphcitly defined And the concepl leads to new numerical schemes which are well adapted to the longtime behavior of dynamical system.
- approximate inertial manifold,
- weakly damped forced KdV equation,
- dynamical system,
- attractor

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References(11)

References

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