Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation
arXiv:1011.4824 · doi:10.1103/PhysRevE.82.057601
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.
6 pages, 6 figures
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