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

In this short topical review, we revisit a number of works on the pattern-forming dynamical
instabilities of Bose–Einstein condensates in one-and two-dimensional settings. In …

The aim of this review is to introduce the reader to some of the physical notions and the
mathematical methods that are relevant to the study of nonlinear waves in Bose–Einstein …

It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the
baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant …

Under investigation in this paper is the N-coupled nonautonomous Gross–Pitaevskii
equations, which describe the dynamics of the Bose–Einstein condensates. Based on the …

This letter studies the excitation of nonlinear patterns on the one-dimensional (1D) quantum
droplet in the presence of polaron-like impurity under modulational instability (MI) activation …

By means of analytical and numerical methods, we address the modulational instability (MI)
in chiral condensates governed by the Gross-Pitaevskii equation including the current …

The letter proposes a modified set of coupled two-dimensional (2D) cubic complex Ginzburg-
Landau (CGL) equations that include Rashba and Dresselhaus as well as helicoidal spin …

We introduce a vector form of the cubic complex Ginzburg-Landau equation describing the
dynamics of dissipative solitons in the two-component helicoidal spin-orbit coupled open …

We show that bright solitons exist in quasi-one-dimensional heteronuclear multicomponent
Bose-Einstein condensates with repulsive self-interaction and attractive interspecies …