Multi-symplectic scheme for the coupled Schrdinger-Boussinesq equations |
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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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