Multi-symplectic methods for the coupled 1D nonlinear Schrödinger system |
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| Authors: | Jian-Qiang Sun |
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| Affiliation: | Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Sciences Academic Sinica, P.O. Box 2719, Beijing 100080, China |
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| Abstract: | In the paper, the multi-symplectic formulation of the coupled 1D nonlinear Schrödinger system (CNLS) is considered. For the multi-symplectic formulation, a new six point scheme, which is equivalent to the multi-symplectic Preissman integrator, is derived. We also present numerical experiments, which show that the multi-symplectic scheme has excellent long-time numerical behaviour and energy conservation property. |
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| Keywords: | Coupled 1D nonlinear Schrö dinger system Multi-symplectic scheme Energy conservation Six-point scheme |
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