Exact Solitonic Solutions of the Gross-Pitaevskii Equation with a Linear Potential

dc.creatorKhawaja, U. Al
dc.date2007-06-19
dc.date.accessioned2026-07-07T08:10:59Z
dc.date.available2026-07-07T08:10:59Z
dc.descriptionWe derive classes of exact solitonic solutions of the time-dependent Gross-Pitaevskii equation with repulsive and attractive interatomic interactions. The solutions correspond to a string of bright solitons with phase difference between adjacent solitons equal to $π$. While the relative phase, width, and distance between adjacent solitons turn out to be a constant of the motion, the center of mass of the string moves with a constant acceleration arising from the inhomogeneity of the background.
dc.identifierhttps://arxiv.org/abs/0706.2703
dc.identifierhttp://arxiv.org/abs/0706.2703
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131987
dc.subjectOther Condensed Matter
dc.titleExact Solitonic Solutions of the Gross-Pitaevskii Equation with a Linear Potential
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