Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation
Quantum Physics
2015-05-20 v1 Quantum Gases
Pattern Formation and Solitons
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.
Keywords
Cite
@article{arxiv.1011.4824,
title = {Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation},
author = {A. T. Avelar and D. Bazeia and W. B. Cardoso},
journal= {arXiv preprint arXiv:1011.4824},
year = {2015}
}
Comments
6 pages, 6 figures