title: Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation.
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 a 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.
authors.affiliation: Instituto de Física, Universidade Federal de Goiás, 74.001-970 Goiânia, GO, Brazil.
authors.forename: A T
authors.initials: AT
authors.lastname: Avelar
authors.forename: D
authors.initials: D
authors.lastname: Bazeia
authors.forename: W B
authors.initials: WB
authors.lastname: Cardoso