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The complex multi-symplectic scheme for the generalized sinh-Gordon equation |
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| Authors: | WeiPeng Hu ZiChen Deng SongMei Han and Wei Fan |
| Institution: | HU WeiPeng1,2,DENG ZiChen1,3,HAN SongMei1 & FAN Wei2 1 School of Mechanics,Civil Engineering , Architecture,Northwestern Polytechnical University,Shaanxi 710072,China,2 School of Power , Energy,3 State Key Laboratory of Structural Analysis of Industrial Equipment,Dalian University of Technology,Dalian 116023 |
| Abstract: | In this paper,the complex multi-symplectic method and the implementation of the generalized sinhGordon equation are investigated in detail.The multi-symplectic formulations of the generalized sinh-Gordon equation in Hamiltonian space are presented firstly.The complex method is introduced and a complex semi-implicit scheme with several discrete conservation laws(including a multi-symplectic conservation law(CLS),a local energy conservation law(ECL) as well as a local momentum conservation law(MCL)) is constr... |
| Keywords: | generalized sinh-Gordon equation multi-symplectic complex method Runge-Kutta methods |
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