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.

中文翻译：

---

非线性薛定谔方程多辛格式的色散分析

在本文中，我们研究了非线性薛定谔方程的多辛离散化的色散特性。研究了数值色散关系和群速度。发现在求解非线性薛定谔方程时，数值色散关系是相关的。