Solitons for a generalized variable-coefficient nonlinear Schrödinger equation

doi:10.1088/1674-1056/20/4/040203

Abstract In this paper, we investigate some exact soliton solutions for a generalized variable-coefficients nonlinear Schrödinger equation (NLS) with an arbitrary time-dependent linear potential which describes the dynamics of soliton solutions in quasi-one-dimensional Bose-Einstein condensations. Under some reasonable assumptions, one-soliton and two-soliton solutions are constructed analytically by the Hirota method. From our results, some previous one- and two-soliton solutions for some NLS-type equations can be recovered by some appropriate selection of the various parameters. Some figures are given to demonstrate some properties of the one- and the two-soliton and the discussion about the integrability property and the Hirota method is given finally.

Keywords: generalized NLS equation Hirota method solitons

Received: 13 August 2010
Revised: 10 January 2011
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	05.45.Yv	(Solitons)
	02.30.Ik	(Integrable systems)

Fund: Project supported by the Natural Science Foundations of Zhejiang Province of China (Grant No. Y6090592), the National Natural Science Foundation of China (Grant Nos. 11041003 and 10735030), Ningbo Natural Science Foundation (Grant Nos. 2010A610095, 2010A610103 and 2009B21003), and K.C. Wong Magna Fund in Ningbo University.

Cite this article:

Wang Huan(王欢) and Li Biao(李彪) Solitons for a generalized variable-coefficient nonlinear Schrödinger equation 2011 Chin. Phys. B 20 040203

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Solitons for a generalized variable-coefficient nonlinear Schrödinger equation

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