Class of solitary wave solutions of the one-dimensional Gross-Pitaevskii equation

Atre, Rajneesh ; Panigrahi, Prasanta K. ; Agarwal, G. S. (2006) Class of solitary wave solutions of the one-dimensional Gross-Pitaevskii equation Physical Review E, 73 (5). 056611_1-056611_5. ISSN 1063-651X

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Official URL: http://pre.aps.org/abstract/PRE/v73/i5/e056611

Related URL: http://dx.doi.org/10.1103/PhysRevE.73.056611

Abstract

We present a large family of exact solitary wave solutions of the one-dimensional Gross-Pitaevskii equation, with time-varying scattering length and gain or loss, in both expulsive and regular parabolic confinement regimes. The consistency condition governing the soliton profiles is shown to map onto a linear Schrodinger eigenvalue problem, thereby enabling one to find analytically the effect of a wide variety of temporal variations in the control parameters, which are experimentally realizable. Corresponding to each solvable quantum mechanical system, one can identify a soliton configuration. These include soliton trains in close analogy to experimental observations of Strecker et al. [Nature (London) 417, 150 (2002)], spatiotemporal dynamics, solitons undergoing rapid amplification, collapse and revival of condensates, and analytical expression of two-soliton bound states, to name a few.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:11901
Deposited On:13 Nov 2010 19:08
Last Modified:10 May 2011 15:44

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