A high order energy preserving scheme for the strongly coupled nonlinear Schrödinger system

doi:10.1088/1674-1056/23/5/050202

中国物理B ›› 2014, Vol. 23 ›› Issue (5): 50202-050202.doi: 10.1088/1674-1056/23/5/050202

A high order energy preserving scheme for the strongly coupled nonlinear Schrödinger system

蒋朝龙, 孙建强

College of Information Science and Technology, Hainan University, Haikou 570228, China

收稿日期:2013-08-23 修回日期:2013-10-12 出版日期:2014-05-15 发布日期:2014-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11161017) and the National Science Foundation of Hainan Province, China (Grant No. 113001).

A high order energy preserving scheme for the strongly coupled nonlinear Schrödinger system

Jiang Chao-Long (蒋朝龙), Sun Jian-Qiang (孙建强)

College of Information Science and Technology, Hainan University, Haikou 570228, China

Received:2013-08-23 Revised:2013-10-12 Online:2014-05-15 Published:2014-05-15
Contact: Sun Jian-Qiang E-mail:sunjq123@163.com
About author:02.60.Cb; 02.70.Bf; 02.30.Jr
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11161017) and the National Science Foundation of Hainan Province, China (Grant No. 113001).

摘要/Abstract

摘要： A high order energy preserving scheme for a strongly coupled nonlinear Schrödinger system is proposed by using the average vector field method. The high order energy preserving scheme is applied to simulate the soliton evolution of the strongly coupled Schrödinger system. Numerical results show that the high order energy preserving scheme can well simulate the soliton evolution, moreover, it preserves the discrete energy of the strongly coupled nonlinear Schrödinger system exactly.

关键词: average vector field method, strongly coupled nonlinear Schrö, dinger system, energy preserving scheme

Abstract: A high order energy preserving scheme for a strongly coupled nonlinear Schrödinger system is proposed by using the average vector field method. The high order energy preserving scheme is applied to simulate the soliton evolution of the strongly coupled Schrödinger system. Numerical results show that the high order energy preserving scheme can well simulate the soliton evolution, moreover, it preserves the discrete energy of the strongly coupled nonlinear Schrödinger system exactly.

Key words: average vector field method, strongly coupled nonlinear Schrödinger system, energy preserving scheme

中图分类号: (Numerical simulation; solution of equations)

02.60.Cb

02.70.Bf (Finite-difference methods) 02.30.Jr (Partial differential equations)

蒋朝龙, 孙建强. A high order energy preserving scheme for the strongly coupled nonlinear Schrödinger system[J]. 中国物理B, 2014, 23(5): 50202-050202.

Jiang Chao-Long (蒋朝龙), Sun Jian-Qiang (孙建强). A high order energy preserving scheme for the strongly coupled nonlinear Schrödinger system[J]. Chin. Phys. B, 2014, 23(5): 50202-050202.

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A high order energy preserving scheme for the strongly coupled nonlinear Schrödinger system

A high order energy preserving scheme for the strongly coupled nonlinear Schrödinger system

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