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arXiv · 1011.4824

Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation

A. T. Avelar·D. Bazeia·W. B. Cardoso
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Abstract

In this paper we present analytical breather solutions of the three-dimensional nonlinear generalized Gross-Pitaevskii equation. We use an Ansatz to reduce the three-dimensional equation with space- and time-dependent coefficients into an one-dimensional equation with constant coefficients. The key point is to show that both the space- and time-dependent coefficients of the nonlinear equation can contribute to modulate the breather excitations. We briefly discuss the experimental feasibility of the results in Bose-Einstein condensates.

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A. T. Avelar, D. Bazeia, W. B. Cardoso. 2010-11-22. Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation. https://doi.org/10.1103/physreve.82.057601

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