Multisymplectic implicit and explicit methods for Klein-Gordon-Schrdinger equations |
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引用本文: | 蔡加祥,杨斌,梁华.Multisymplectic implicit and explicit methods for Klein-Gordon-Schrdinger equations[J].中国物理 B,2013(3):103-109. |
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作者姓名: | 蔡加祥 杨斌 梁华 |
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作者单位: | School of Mathematical Science,Huaiyin Normal University |
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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) |
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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.
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关 键 词: | Klein-Gordon-Schro¨dinger equations multisymplectic method Fourier pseudospectral method conservation law |
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