Dark soliton is usually seen as one of the simplest topological solitons, due to phase shift
across its intensity dip. We investigate phase characters of single-valley dark soliton (SVDS) …

Necessary and sufficient conditions for the existence of solitary solutions to a generalized
model of a two-body problem perturbed by small post-Newtonian relativistic term are derived …

We investigate propagating dark soliton solutions of the two-dimensional defocusing
nonlinear Schrödinger or Gross-Pitaevskii (NLS-GP) equation that are transversely confined …

Manipulating nonlinear excitations, including solitons and vortices, is an essential topic in
quantum many-body physics. A new progress in this direction is a protocol proposed in …

We determine the regime where the widespread classical field description for quantum Bose
gases is quantitatively accurate in one dimension (1D), 2D, and 3D by a careful study of the …

Dark solitons are some of the most interesting nonlinear excitations and are considered to
be the one-dimensional topological analogs of vortices. However, in contrast to their two …

The non-equilibrium dynamics of trapped ultracold atomic gases, or mixtures thereof, is an
extremely rich subject. Despite 20 years of studies, and remarkable progress mainly on the …

Stationary solitary waves are studied in an array of M linearly coupled one-dimensional
Bose-Einstein condensates (BECs) by means of the Gross-Pitaevskii equation. Solitary …

Boundaries strongly affect the behavior of quantized vortices in Bose-Einstein condensates,
a phenomenon particularly evident in elongated cigar-shaped traps where vortices tend to …

We report on the existence and stability of multidimensional bound solitonic states in
harmonically trapped scalar Bose-Einstein condensates. Their equilibrium separation, as a …