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Multisymplectic implicit and explicit methods for Klein-Gordon-Schrdinger equations
引用本文:蔡加祥,杨斌,梁华.Multisymplectic implicit and explicit methods for Klein-Gordon-Schrdinger equations[J].中国物理 B,2013(3):103-109.
作者姓名:蔡加祥  杨斌  梁华
作者单位:School of Mathematical Science,Huaiyin Normal University
基金项目:Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11201169);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 10KJB110001)
摘    要:We propose multisymplectic implicit and explicit Fourier pseudospectral methods for the Klein-Gordon-Schro¨dinger 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.The numerical results show the abilities of the two methods in preserving the charge,energy,and momentum conservation laws.

关 键 词:Klein-Gordon-Schro¨dinger  equations  multisymplectic  method  Fourier  pseudospectral  method  conservation  law
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