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

doi:10.1088/1674-1056/21/12/120307

Abstract The Homotopy Analysis Method (HAM) is adopted to find the approximate analytical solutions of the Gross-Pitaevskii equation, a nonlinear Schrödinger 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 are agreement very well with each other when the atomic interaction is weakly.

Keywords: Gross-Pitaevskii equation homotopy analysis method analytical solution

Received: 30 April 2012
Revised: 29 May 2012
Accepted manuscript online:

PACS:	03.75.Fi
	05.30.Jp	(Boson systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11047010) and the Key Project Foundation of the Education Ministry of China (Grant No. 209128).

Corresponding Authors: Shi Yu-Ren
E-mail: shiyr@nwnu.edu.cn

Cite this article:

Shi Yu-Ren (石玉仁), Liu Cong-Bo (刘丛波), Wang Guang-Hui (王光辉), Zhou Zhi-Gang (周志刚) Application of the homotopy analysis method for the Gross-Pitaevskii equation with a harmonic trap 2012 Chin. Phys. B 21 120307

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

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