Multisymplectic Scheme for the Improved Boussinesq Equation

We first note that the improved Boussinesq equation has a multisymplectic structure. Based on it, a multisymplectic scheme is proposed. Dispersion relations analysis and linear stability analysis show that the proposed scheme has excellent properties. Numerical results confirm the excellent long-ter...

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Bibliographic Details
Published in:Chinese physics letters 2013-07, Vol.30 (7), p.70202-1-070202-4
Main Authors: Cai, Jia-Xiang, Qin, Zhi-Lin, Bai, Chuan-Zhi
Format: Article
Language:English
Subjects:
Boussinesq equations
Dispersions
Mathematical models
Stability analysis
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Summary:We first note that the improved Boussinesq equation has a multisymplectic structure. Based on it, a multisymplectic scheme is proposed. Dispersion relations analysis and linear stability analysis show that the proposed scheme has excellent properties. Numerical results confirm the excellent long-term behavior of the proposed scheme.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/30/7/070202