A comparative review is given of some well-known and some recent results obtained in
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …

Starting with a Gaussian variational ansatz, we predict anisotropic bright solitons in quasi-
2D Bose-Einstein condensates consisting of atoms with dipole moments polarized …

The existence and stability of fundamental, dipole, and tripole solitons in Kerr nonlinear
media with parity-time-symmetric Gaussian complex potentials are reported. Fundamental …

We address the existence and stability of multipole quantum droplets in symmetric binary
Bose-Einstein condensates described by the amended Gross-Pitaevskii equation with Lee …

In this paper, the exact analytical Laguerre–Gaussian (LG) solutions are derived in strongly
nonlocal nonlinear media in a cylindrical coordinate system. The comparisons of analytical …

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 …

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 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 …

We propose a realistic experimental setup for creating quasi-two-dimensional (2D) bright
solitons in dipolar Bose-Einstein condensates (BECs), the existence of which was proposed …

The existence of bright solitons in the model of the Tonks–Girardeau (TG) gas with dipole–
dipole (DD) interactions is reported. The governing equation is taken as the quintic …