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

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. Nu...

Full description

Saved in:
Bibliographic Details
Published in中国物理B：英文版 no. 7; pp. 45 - 49
Main Author 黄浪扬 焦艳东 梁德民
Format Journal Article
LanguageEnglish
Published 2013
Subjects
Boussinesq方程
Hamilton形式
守恒定律
守恒律
数值实验
等离子体
耦合
薛定谔方程
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:Huang Lang-Yang, Jiao Yan-Dong, and Liang De-Min a） School of Mathematical Sciences, Huaqiao University, Quanzhou 362011, China b） School of Sciences, Hebei University of Technology, Tianjin 300401, China c） Department of Electronics, School of Electronics Engineering and Computer Science, Peking University, Beijing 100871, China
11-5639/O4
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.
coupled Schro¨dinger–Boussinesq equations;multi-symplectic scheme;conservation laws;numerical experiments
ISSN:1674-1056
2058-3834