| Multi-symplectic scheme for the coupled Schrdinger-Boussinesq equations |
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| 引用本文： | 黄浪扬,焦艳东,梁德民.Multi-symplectic scheme for the coupled Schrdinger-Boussinesq equations[J].中国物理 B,2013(7):45-49. |
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| 作者姓名： | 黄浪扬 焦艳东 梁德民 |
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| 基金项目： | the National Natural Science Foundation of China（Grant Nos.11271171,11001072,and 11101381）;Natural Science Foundation of Fujian Province,China（Grant No.2011J01010）;the Fundamental Research Funds for the Central Universities,China;the Natural Science Foundation of Huaqiao University,China（Grant No.10QZR21） |
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| 摘 要： | In this paper, a multi-symplectic Hamiltonian formulation is presented for the coupled Schrdinger-Boussinesq equations (CSBE). Then, a multi-symplectic scheme of the CSBE is derived. The discrete conservation laws of the Langmuir plasmon number and total perturbed number density are also proved. Numerical experiments show that the multi-symplectic scheme simulates the solitary waves for a long time, and preserves the conservation laws well.
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| 关 键 词： | coupled Schro¨dinger–Boussinesq equations multi-symplectic scheme conservation laws numerical experiments |
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