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New Explicit Multisymplectic Scheme for the Complex Modified Korteweg-de Vries Equation |
| CAI Jia-Xiang**, MIAO Jun |
| School of Mathematical Science, Huaiyin Normal University, Huaian 223300 |
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| Cite this article: |
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CAI Jia-Xiang, MIAO Jun 2012 Chin. Phys. Lett. 29 030201 |
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Abstract We propose an explicit multisymplectic Fourier pseudospectral scheme for the complex modified Korteweg-de Vries equation. Two test problems, the motion of a single solitary wave and interaction of solitary waves, are simulated. Numerical experiments show that the present scheme not only provides highly accurate numerical solutions, but also displays good performance in preserving the three integral invariants during long-time computation. Especially, the excellent ability to preserve the higher order invariant indicates that the proposed algorithm is robust and reliable.
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| Keywords:
02.60.Cb
02.70.Bf
45.10.Na
45.20.Dh
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Received: 27 October 2011
Published: 11 March 2012
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| PACS: |
02.60.Cb
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(Numerical simulation; solution of equations)
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02.70.Bf
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(Finite-difference methods)
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45.10.Na
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(Geometrical and tensorial methods)
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45.20.dh
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(Energy conservation)
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