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
![]()
|
PDF
- Publisher Version
235kB |
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 13:38 |
Last Modified: | 16 May 2016 21:18 |
Repository Staff Only: item control page