New exact solutions of nonlinear Gross—Pitaevskii equation with weak bias magnetic and time-dependent laser fields

doi:10.1088/1009-1963/14/2/006

Abstract

Abstract By using the mapping method and an appropriate transformation, we find new exact solutions of nonlinear Gross—Pitaevskii equation with weak bias magnetic and time-dependent laser fields. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions , triangular function solutions, bright and dark solitons, and soliton-like solutions.

Keywords: Gross—Pitaevskii equation exact solution mapping method

Received: 07 April 2004
Revised: 02 October 2004
Published: 02 March 2005

PACS:	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
	05.45.Yv	(Solitons)
	02.30.Hq	(Ordinary differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No 10372094), the Natural Science Foundation of Zhejiang Province, China (Grant No 102053) and the Foundation of Zhejiang Education Committee (Grant No 20030706).

Cite this article:

Li Hua-Mei New exact solutions of nonlinear Gross—Pitaevskii equation with weak bias magnetic and time-dependent laser fields 2005 Chin. Phys. 14 251

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