Multi-symplectic scheme for the coupled Schrdinger-Boussinesq equations

被引：2
|
作者：
黄浪扬 [1 ]
焦艳东 [2 ]
梁德民 [3 ]
机构：
[1] School of Mathematical Sciences,Huaqiao University
[2] School of Sciences,Hebei University of Technology
[3] Department of Electronics,School of Electronics Engineering and Computer Science,Peking University
来源：
Chinese Physics B | 2013年 / 07期
基金：
中国国家自然科学基金; 中央高校基本科研业务费专项资金资助;
关键词：
coupled Schro¨dinger–Boussinesq equations; multi-symplectic scheme; conservation laws; numerical experiments;
D O I：
暂无
中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
摘要：
In this paper, a multi-symplectic Hamiltonian formulation is presented for the coupled Schrdinger-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.
引用
收藏
页码：49 / 53
页数：5
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