Numerical analysis of long-time dynamic behavior in weakly damped forced KdV equation

DOI10.1007/BF02458989zbMath1003.76069MaRDI QIDQ1841490

Yong Jiang, Lixin Tian, Zhijun Chu, Zeng-Rong Liu

Publication date: 23 January 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsapproximate inertial manifoldlong-time behaviorsolitonperiodic boundary conditionsnonlinear spectral analysisweakly damped forced KdV equation

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (1)

Wavelet approximate inertial manifold and numerical solution of Burgers' equation

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Attractors and transients for a perturbed periodic KdV equation: A nonlinear spectral analysis
• The research of longtime dynamic behavior in weakly damped forced KdV equation
• Pattern formation outside of equilibrium

This page was built for publication: Numerical analysis of long-time dynamic behavior in weakly damped forced KdV equation