Since the realization of Bose–Einstein condensates (BECs) trapped in optical potentials,
intensive experimental and theoretical investigations have been carried out for bright and …

Matter waves inside periodic potentials are well known from solid-state physics, where
electrons interacting with a crystal lattice are considered. Atomic Bose-Einstein condensates …

We report on the first experimental observation of bright matter wave solitons for Rb 87
atoms with repulsive atom-atom interaction. This counterintuitive situation arises inside a …

Recent experimental and theoretical advances in the creation and description of bright
matter wave solitons are reviewed. Several aspects are taken into account, including the …

Using asymptotic methods, we investigate whether discrete breathers are supported by a
two-dimensional Fermi–Pasta–Ulam lattice. A scalar (one-component) two-dimensional …

A large family of analytical solitary wave solutions to the generalized nonautonomous cubic-
quintic nonlinear Schrödinger equation with time-and space-dependent distributed …

We develop the scheme of dispersion management (DM) for three-dimensional (3D) solitons
in a multimode optical fiber. It is modeled by the parabolic confining potential acting in the …

We consider the Cauchy problem for dispersion-managed nonlinear Schrödinger equations,
where the dispersion map is assumed to be periodic and piecewise constant in time. We …

We investigate the formation and propagation of gap-soliton bullets in nonlinear periodic
waveguides at frequencies close to the gap for Bragg reflection beyond the paraxial …

We predict stable, collapse-free solitonslike structures in two-dimensional nonlinear
Schrödinger systems in subdiffractive regimes, accomplished by a spatiotemporal …