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arXiv · 0706.2703

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

U. Al Khawaja
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Abstract

We 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.

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U. Al Khawaja. 2007-06-19. Exact Solitonic Solutions of the Gross-Pitaevskii Equation with a Linear Potential. https://arxiv.org/abs/0706.2703

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