Numerical simulation of a nonlinearly coupled Schrödinger system: A linearly uncoupled finite difference scheme |
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| Authors: | Tingchun Wang Tao Nie Luming Zhang Fangqi Chen |
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| Affiliation: | 1. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Section of Basic Courses, Nanjing College of Chemical Technology, Nanjing 210048, China |
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| Abstract: | This article describes a finite difference scheme which is linearly uncoupled in computation for a nonlinearly coupled Schrödinger system. This numerical scheme is proved to preserve the original conservative properties. Using the discrete energy analysis method, we also prove that the scheme is unconditionally stable and second-order convergent in discrete L2-norm based on some preliminary estimations. The results show that the new scheme is efficiency. |
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| Keywords: | Coupled Schrö dinger equations Linear scheme Uncoupled scheme Conservation Convergence |
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