Multi-symplectic methods for the Ito-type coupled KdV equation |
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| Authors: | Yaming Chen Songhe SongHuajun Zhu |
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| Affiliation: | a Department of Mathematics and System Science, Science School, National University of Defense Technology, Changsha, Hunan 410073, China
b State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, P.O. Box 211, Mianyang 621000, China |
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| Abstract: | In this paper, we find that the Ito-type coupled KdV equation can be written as a multi-symplectic Hamiltonian partial differential equation (PDE). Then, multi-symplectic Fourier pseudospectral method and multi-symlpectic wavelet collocation method are constructed for this equation. In the numerical experiments, we show the effectiveness of the proposed methods. Some comparisons between the proposed methods are also made with respect to global conservation properties. |
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| Keywords: | Ito-type coupled KdV equation Multi-symplectic Fourier pseudospectral method Wavelet collocation method |
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