Multisymplectic implicit and explicit methods for Klein–Gordon–Schrödinger equations

doi:10.1088/1674-1056/22/3/030209

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30209-030209.doi: 10.1088/1674-1056/22/3/030209

Multisymplectic implicit and explicit methods for Klein–Gordon–Schrödinger equations

蔡加祥, 杨斌, 梁华

School of Mathematical Science, Huaiyin Normal University, Huaian 223300, China

收稿日期:2012-07-12 修回日期:2012-09-05 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11201169) and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 10KJB110001).

Multisymplectic implicit and explicit methods for Klein–Gordon–Schrödinger equations

Cai Jia-Xiang (蔡加祥), Yang Bin (杨斌), Liang Hua (梁华)

School of Mathematical Science, Huaiyin Normal University, Huaian 223300, China

Received:2012-07-12 Revised:2012-09-05 Online:2013-02-01 Published:2013-02-01
Contact: Cai Jia-Xiang E-mail:thomasjeer@sohu.com
Supported by:
Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11201169) and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 10KJB110001).

摘要/Abstract

摘要： We propose multisymplectic implicit and explicit Fourier pseudospectral methods for the Klein-Gordon-Schrödinger equations. We prove that the implicit method satisfies the charge conservation law exactly. Both methods provide accurate solutions in long-time computations and simulate the soliton collision well. Numerical results show the abilities of the two methods in preserving charge, energy, and momentum conservation laws.

关键词: Klein-Gordon-Schrö, dinger equations, multisymplectic method, Fourier pseudospectral method, conservation law

Abstract: We propose multisymplectic implicit and explicit Fourier pseudospectral methods for the Klein–Gordon–Schrödinger equations. We prove that the implicit method satisfies the charge conservation law exactly. Both methods provide accurate solutions in long-time computations and simulate the soliton collision well. Numerical results show the abilities of the two methods in preserving charge, energy, and momentum conservation laws.

Key words: Klein–Gordon–Schrödinger equations, multisymplectic method, Fourier pseudospectral method, conservation law

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

02.60.Cb

02.70.Bf (Finite-difference methods) 45.10.Na (Geometrical and tensorial methods) 02.70.Hm (Spectral methods)

蔡加祥, 杨斌, 梁华. Multisymplectic implicit and explicit methods for Klein–Gordon–Schrödinger equations[J]. 中国物理B, 2013, 22(3): 30209-030209.

Cai Jia-Xiang (蔡加祥), Yang Bin (杨斌), Liang Hua (梁华). Multisymplectic implicit and explicit methods for Klein–Gordon–Schrödinger equations[J]. Chin. Phys. B, 2013, 22(3): 30209-030209.

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Multisymplectic implicit and explicit methods for Klein–Gordon–Schrödinger equations

Multisymplectic implicit and explicit methods for Klein–Gordon–Schrödinger equations

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