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Numerical analysis of longtime dynamic behavior in weakly damped forced KdV equation |
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| Authors: | Tian Li-xin Professor Doctor Chu Zhi-jun Liu Zeng-rong Jiang Yong |
| Institution: | (1) Department of Mathematics and Physics, Jiangsu University of Science and Technology, 212013 Zhenjiang, P R China;(2) Department of Mathematics, Wuxi University of Light and Industry, 214036 Wuxi, P R China;(3) Department of Mathematics, Shanghai University, 201800 Shanghai, P R China;(4) Department of Mathematics, Nanjing University of Science and Technology, 210000 Nanjing, P R China |
| Abstract: | The numerical analysis of the approximate inertial manifold in weakly damped forced KdV equation is given. The results of numerical analysis under five models is the same as that of nonlinear spectral analysis. |
| Keywords: | periodic boundary conditions partial differential equation dynamical systems soliton/approximate inertial manifold |
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