We consider the 3D quantum many-body dynamics describing a dilute Bose gas with strong
confinement in one direction. We study the corresponding Bogoliubov-Born-Green-Kirkwood …

A model of the Bose-Einstein condensate of dipolar atoms, confined in a combination of a
cigar-shaped trap and deep optical lattice acting in the axial direction, is introduced, taking …

We introduce a species of the discrete nonlinear Schrödinger (DNLS) equation, which is a
model for a self-attractive Bose-Einstein condensate confined in a combination of a cigar …

By applying the similarity transformation we find analytical solutions of the generalized
nonlinear Schrödinger equation with spatially modulated parameters and a special external …

We find exact solutions of the two-and three-dimensional nonlinear Schrödinger equation
with a supporting potential. We focus in the case where the diffraction operator is of the …

Within the framework of a mean-field description, we investigate atomic Bose-Einstein
condensates, with attraction between atoms, under the action of a strong transverse …

A model of the Bose–Einstein condensate (BEC) of dipolar atoms, confined in a combination
of a cigar-shaped trap and optical lattice acting in the axial direction, is studied in the …

We produce three vast classes of exact periodic and soliton solutions to the one-
dimensional Gross-Pitaevskii equation (GPE) with the pseudopotential in the form of a …

The possibility of the decomposition of the three-dimensional (3D) Gross–Pitaevskii
equation (GPE) into a pair of coupled Schrödinger-type equations, is investigated. It is …

The Bose–Einstein condensate (BEC), confined in a combination of the cigar-shaped trap
and axial optical lattice, is studied in the framework of two models described by two versions …