Multisymplectic implicit and explicit methods for Klein-Gordon-Schroedinger equations

作者：Cai Jia Xiang^*; Yang Bin; Liang Hua

来源：Chinese Physics B, 2013, 22(3): 030209.

DOI：10.1088/1674-1056/22/3/030209

• Klein-Gordon-Schrodinger equations
• multisymplectic method
• Fourier pseudospectral method
• conservation law

We propose multisymplectic implicit and explicit Fourier pseudospectral methods for the Klein-Gordon-Schrodinger 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.

• 出版日期2013-3
• 单位淮阴师范学院