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

We present a family of exact solutions of the one-dimensional nonlinear Schrödinger
equation which describes the dynamics of a bright soliton in Bose-Einstein condensates with …

By means of analytical and numerical methods, we reveal the main features of
nonautonomous matter-wave solitons near the Feshbach resonance in a one-dimensional …

In this work, the position-dependent mass Schrödinger equation is solved with the Pöschl-
Teller-like potential in the presence of magnetic and Aharonov–Bohm (AB) flux fields. The …

Under investigation in this paper is a nonlinear Schrödinger equation with an arbitrary linear
time-dependent potential, which governs the soliton dynamics in quasi-one-dimensional …

Motivated by recent proposals of “collisionally inhomogeneous” Bose–Einstein condensates
(BECs), which have a spatially modulated scattering length, we introduce a phase imprint …

In the presence of a linear potential with an arbitrary time-dependence, Hirota method is
developed carefully for applying into the effective mean-field model of quasi-one …

We present the position–momentum uncertainties for the Pöschl–Teller potential. We
observe that the Δx decreases with the potential depth λ but increases with quantum number …

We examine spatial chaos in a one-dimensional attractive Bose-Einstein condensate
interacting with a Gaussian-like laser barrier and perturbed by a weak optical lattice. For a …

A family of analytical solutions to a quasi one-dimensional time-dependent Gross–Pitaevskii
equation with inverted parabolic potentials and time-varying nonlinear two-body interactions …