An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations

被引：3
|
作者：
Wang, Lan [1 ,2 ]
Cai, Wenjun [1 ]
Wang, Yushun [1 ]
机构：
[1] Nanjing Normal Univ, Jiangsu Collaborat Innovat Ctr Biomed Funct Mat, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
[2] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2021年 / 13卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Coupled Gross-Pitaevskii equations; average vector field method; high order compact method; energy-preserving scheme; FINITE-DIFFERENCE METHODS; SPECTRAL METHOD; COMPACT; EFFICIENT; DYNAMICS;
D O I：
10.4208/aamm.OA-2019-0308
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An energy-preserving scheme is proposed for the coupled Gross-Pitaevskii equations. The scheme is constructed by high order compact method in the spatial direction and average vector field method in the temporal direction, respectively. The scheme is energy-preserving, stable, and of sixth order in space and of second order in time. Numerical experiments verify the theoretical results. The dynamic behavior modeled by the coupled Gross-Pitaevskii equations is also numerically investigated.
引用
收藏
页码：203 / 231
页数：29
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