This paper reviews the recent theoretical and experimental advances in the study of ultra-
cold gases made of bosonic particles interacting via the long-range, anisotropic dipole …

Recent experimental progress in trapping and cooling of molecular gases boosts interest in
the interdisciplinary field of quantum gases with dominant dipole–dipole interactions. An …

Collapse in dipolar Bose-Einstein condensates may be arrested by quantum fluctuations.
Due to the anisotropy of the dipole-dipole interactions, the dipole-driven collapse induced by …

We study the nonlinear Schrödinger equation arising in dipolar Bose--Einstein condensate
in the unstable regime. Two cases are studied: the first when the system is free, the second …

New efficient and accurate numerical methods are proposed to compute ground states and
dynamics of dipolar Bose–Einstein condensates (BECs) described by a three-dimensional …

We study families of one-dimensional matter-wave bright solitons supported by the
competition of contact and dipole-dipole (DD) interactions of opposite signs. Soliton families …

We investigate, both analytically and numerically, the nonlinear dynamics of (2+ 1)-
dimensional [(2+ 1) D] matter waves excited in a disk-shaped dipolar Bose-Einstein …

The partially attractive character of the dipole-dipole interaction leads to phonon instability in
dipolar Bose-Einstein condensates, which is followed by collapse in 3D geometries. We …

We propose an experiment for forming matter-wave soliton molecules. In the proposed
setup, we show that if two solitons are initially prepared in phase and with a sufficiently small …

We predict solitary vortices in quasiplanar condensates of dipolar atoms, polarized parallel
to the confinement direction, with the effective sign of the dipole-dipole interaction inverted …