%0 Journal Article
%T SYMPLECTIC AND MULTI-SYMPLECTIC SCHEMES FOR THE TWO-DIMENSIONAL NONLINEAR SCHR(o)DINGER EQUATION<br>二维非线性Schr(o)dinger方程的辛与多辛格式
%A Zhu Huajun
%A Chen Yaming
%A Song Songhe
%A Tang Yifa
%A <br>朱华君
%A 陈亚铭
%A 宋松和
%A 唐贻发
%J 计算数学
%D 2010
%I 
%X The two-dimensional nonlinear Schr dinger equation (2D NLSE) with periodic boundary condition is considered in this paper. An implicit symplectic scheme is constructed by using central difference scheme in space and implicit Euler-centered scheme in time. In addition, a midpoint rule multi-symplectic method is obtained by applying a cell vertex finite volume discretization to its multi-symplectic form. Numerical simulations are presented for plane wave solution and singular solution of the 2D NLSE. The results demonstrate the effectiveness of the proposed methods. Furthermore, the two methods are analyzed and compared with each other.
%K 二维非线性Shr
%K dinger方程
%K 辛格式
%K 有限体积法
%K 多辛格式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=BD6795DEF97BEF76C3ED727BB4F29182&yid=140ECF96957D60B2&vid=9971A5E270697F23&iid=38B194292C032A66&sid=0C3F9E980968AF79&eid=377D325742940769&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=22