Multi-symplectic scheme for the coupled Schrödinger–Boussinesq equations

doi:10.1088/1674-1056/22/7/070201

Abstract In this paper, a multi-symplectic Hamiltonian formulation is presented for the coupled Schrödinger–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.

Keywords: coupled Schrödinger–Boussinesq equations multi-symplectic scheme conservation laws numerical experiments

Received: 10 March 2013
Revised: 08 April 2013
Accepted manuscript online:

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	02.70.Bf	(Finite-difference methods)
	02.30.Jr	(Partial differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11271171, 11001072, and 11101381), the Natural Science Foundation of Fujian Province, China (Grant No. 2011J01010), the Fundamental Research Funds for the Central Universities, China, and the National Science Foundation of Huaqiao University, China (Grant No. 10QZR21).

Corresponding Authors: Huang Lang-Yang
E-mail: hly6@163.com

Cite this article:

Huang Lang-Yang (黄浪扬), Jiao Yan-Dong (焦艳东), Liang De-Min (梁德民) Multi-symplectic scheme for the coupled Schrödinger–Boussinesq equations 2013 Chin. Phys. B 22 070201

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Multi-symplectic scheme for the coupled Schrödinger–Boussinesq equations

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