带五次项的非线性Schrdinger方程的单辛算法  

Symplectic Algorithm for Nonlinear Schrdinger Equation Involving Quintic Term

作　　者：徐金平[1] 陈特清[1] 张星 

机构地区：[1]闽南理工学院,福建石狮362700 [2]福建生物工程职业技术学院,福建福州350002

出　　处：《泉州师范学院学报》2012年第4期5-9,共5页Journal of Quanzhou Normal University

基　　金：福建省教育厅科技资助项目(JB11211)

摘　　要：验证了带五次项的非线性Schrdinger方程满足电荷守恒律和能量守恒律,讨论了该方程的Hamilton形式,并构造了它的单辛格式,最后用数值实验验证了该格式具有长时间的数值模拟能力.In this paper,we prove that the nonlinear Schrdinger equation involving quintic term satisfy of charge conservation law and energy conservation law,we consider the Hamilton form of it,and construct single symplectic scheme,last we prove that the symplectic scheme is capable of simulating the original in a long time by numerical experiment.

关 键 词：非线性Schrdinger方程 辛格式 电荷守恒律 能量守恒律 

分 类 号：O241.82[理学—计算数学]