节点文献
广义非线性Schrdinger方程的辛算法
SYMPLECTIC ALGORITHM FOR GENERALIZED NONLINEARSCHRODINGER EQUATION
【Author】 Liu Xueshen Liu Xiaoyan zhou zhongyuan Ding PeizhuInstitute of Atomic and Molecular Physics, Jilin University, Changchun, 130023
【机构】 吉林大学原子与分子物理研究所;
【摘要】 本文用中心差商代替高阶偏导数,将广义非线性Schr(?)dinger方程离散成正则方程,采用欧拉中点格式数值求解,结果表明,辛算法优于非辛算法.
【Abstract】 The canonical equation of generalized nonlinear Schrodinger equation isobtained by substituting symmetry difference quotient for high order partial derivative and the numerical solution (the normal of wavefunction) is computed by using Eater’s mid-point scheme in this paper. The numerical solution verify that symplectic algorithm is better than nonsymplectic algorithm.
【关键词】 广义非线性Schr(?)dinger方程;
正则方程;
欧拉中点格式;
【Key words】 generalized nonlinear Schrodinger equation; canonical equation; Eider’s midpoint scheme.;
【Key words】 generalized nonlinear Schrodinger equation; canonical equation; Eider’s midpoint scheme.;
【基金】 国家自然科学基金;攀登计划项目LSEC资助课题
- 【会议录名称】 Structure Preserving Algorithm and Its Applications--Proceedings of CCAST (World Laboratory) Workshop
- 【会议名称】CCAST“保结构算法及其应用”研讨会
- 【会议时间】1999-12
- 【会议地点】中国北京
- 【分类号】O241
- 【主办单位】中国高等科学技术中心