Abstract
In this paper, we study the dispersive properties of multi-symplectic discretizations for the nonlinear Schrödinger equations. The numerical dispersion relation and group velocity are investigated. It is found that the numerical dispersion relation is relevant when resolving the nonlinear Schrödinger equations.
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The authors appreciate the anonymous referees for their valuable comments and suggestions to improve the quality of the manuscript.
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This paper was supported by the National Natural Science Foundation of China (Nos.11961020, 11561018, 41974114).
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Li, Hc., Sun, Jq., Ye, H. et al. Dispersion Analysis of Multi-symplectic Scheme for the Nonlinear Schrödinger Equations. Acta Math. Appl. Sin. Engl. Ser. 36, 503–515 (2020). https://doi.org/10.1007/s10255-020-0933-4
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DOI: https://doi.org/10.1007/s10255-020-0933-4