We study numerically rogue waves in the two-component Bose-Einstein condensates which
are described by the coupled set of two Gross-Pitaevskii equations with variable scattering …

We investigate the defocusing coupled nonlinear Schrödinger equations from a 3× 3 Lax
pair. The Darboux transformations with the nonzero plane-wave solutions are presented to …

The dynamics of vector dark solitons in two-component Bose-Einstein condensates is
studied within the framework of coupled one-dimensional nonlinear Schrödinger (NLS) …

In this paper we show that for sufficiently strong atomic interactions, there exist analytical
solutions of current-carrying nonlinear Bloch states at the Brillouin zone edge to the model of …

Exact traveling wave and soliton solutions, including the bright-bright and dark-dark soliton
pairs, are found for the system of two coupled nonlinear Schrödinger equations with …

We study an atomic Josephson junction (AJJ) in the presence of two interacting Bose–
Einstein condensates (BECs) confined in a double-well trap. We assume that bosons of …

The effect of cubic-quintic nonlinearity and associated intercomponent couplings on the
modulational instability (MI) of plane-wave solutions of the two-component discrete …

The stability properties of dark solitons in quasi-one-dimensional Bose–Einstein condensate
(BEC) loaded in a Jacobian elliptic sine potential with three-body interactions are …

It is shown that the mean-field description of a boson-fermion mixture with a dominating
fermionic component, loaded in a one-dimensional optical lattice, is reduced to the …

Using Lie group theory we construct explicit solitary wave solutions of coupled nonlinear
Schrödinger systems with spatially inhomogeneous nonlinearities. We present the general …