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

作　　者：Hao-chen LI Jian-qiang SUN Hang YE Xue-jun HE 

机构地区：[1]Department of Mathematics,School of Science,Hainan University,Haikou 570228,China [2]School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China

出　　处：《Acta Mathematicae Applicatae Sinica》2020年第2期503-515,共13页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11961020,1156101&41974114).

摘　　要：In this paper,we study the dispersive properties of multi-symplectic discretizations for the nonlinear Schrodinger equations.The numerical dispersion relation and group velocity are investigated.It is found that the numerical dispersion relation is relevant when resolving the nonlinear Schrodinger equations.

关 键 词：the nonlinear SCHRODINGER EQUATION MULTI-SYMPLECTIC scheme DISPERSION analysis GROUP VELOCITY 

分 类 号：O175[理学—数学]