Numerical Analysis of Longtime Dynamic Behavior in Weakly Damped Forced KdV Equation

TIAN Li-xin; CHU Zhi-jun; LIU Zeng-rong; JIANG Yong

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(10): 1013-1020

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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Numerical Analysis of Longtime Dynamic Behavior in Weakly Damped Forced KdV Equation

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

Received Date: 1999-05-17
Rev Recd Date: 2000-05-10
Publish Date: 2000-10-15

Abstract

Abstract

The numerical analysis of the appro ximate inertial manifold in weakly damped fo rced KdV equation is given. The results of numerical analysis under five models is the same as that of nonline ar spectral analysis.
- periodic boundary conditions,
- partial differential equation,
- dynamical systems,
- soliton/approx imate inertial manifold

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References(5)

References

[1]	Temam R.Infinite Dimensional Systems in Mechanics and Physics[M].Berlin:Springer-Verlag,1988.
[2]	Constantin P,Foias C,Nicolaenko B,et al.Integral Manifolds and Inerital Manifolds for Dissipative Partial Differential Equations[M].Berlin:Springer-Verlag,1988.
[3]	Cross M C,Hohenberg P C.Pattern formation of equilibrium[J].Rev Modern Phys,1993,65(2):851-1223.
[4]	田立新,徐振源.弱阻尼KdV方程长期动力学行为研究[J].应用数学和力学,1997,18(10):953-958.
[5]	Ercolani N M,Mclaughin D W,Roitner H.Attractors and transients for a perturbed periodic KdV equations:a nonlinear spectral analysis[J].J Nonlinear Science,1993,3(2):477-579.