Application of the homotopy analysis method for the Gross-Pitaevskii equation with a harmonic trap

被引：0

作者：

石玉仁 ^{[1
]}

刘丛波 ^{[1
]}

王光辉 ^{[1
]}

周志刚 ^{[1
]}

机构：

[1] College of Physics and Electronic Engineering,Northwest Normal University

来源：

Chinese Physics B | 2012年 / 21卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Gross-Pitaevskii equation; homotopy analysis method; analytical solution;

D O I：

暂无

中图分类号：

O411.1 [数学物理方法];

学科分类号：

0701 ; 070104 ;

摘要：

The Homotopy analysis method(HAM) is adopted to find the approximate analytical solutions of the GrossPitaevskii equation,a nonlinear Schrodinger equation is used in simulation of Bose-Einstein condensates trapped in a harmonic potential.Comparisons between the analytical solutions and the numerical solutions have been made.The results indicate that they fit very well with each other when the atomic interaction is weak.

引用

页码：88 / 93

页数：6