Dispersion Analysis of Multi-symplectic Scheme for the Nonlinear Schrödinger Equations

Dispersion Analysis of Multi-symplectic Scheme for the Nonlinear Schrödinger Equations
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DOI：
10.1007/s10255-020-0933-4
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发表时间：
2020-03
期刊：
Acta Mathematicae Applicatae Sinica, English Series
影响因子：
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通讯作者：
Haochen Li;Jianqiang Sun;H. Ye;Xue-jun He
Haochen Li;Jianqiang Sun;H. Ye;Xue-jun He
中科院分区：
其他
文献类型：
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作者：
Haochen Li;Jianqiang Sun;H. Ye;Xue-jun He

文献摘要

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本文研究了非线性Schrödinger方程的多辛离散化的色散性质。研究了数值色散关系和群速度。在求解非线性Schrödinger方程时，发现数值色散关系是相关的。
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.