期刊
CHINESE PHYSICS B
卷 22, 期 7, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/22/7/070201
关键词
coupled Schrodinger-Boussinesq equations; multi-symplectic scheme; conservation laws; numerical experiments
资金
- National Natural Science Foundation of China [11271171, 11001072, 11101381]
- Natural Science Foundation of Fujian Province, China [2011J01010]
- Fundamental Research Funds for the Central Universities, China
- Natural Science Foundation of Huaqiao University, China [10QZR21]
In this paper, a multi-symplectic Hamiltonian formulation is presented for the coupled Schrodinger-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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