We consider the dynamical model of quantum droplets (QDs) launched in a deep optical
lattice. This setting is modeled by a one-dimensional discrete Gross-Pitaevskii equation with …

We consider the dynamics and formation of vortices from ring dark solitons in a two-
dimensional Bose-Einstein condensate with the Rashba spin-orbit coupling based on the …

We consider the symmetry breaking of a matter-wave soliton formed by spinor Bose-Einstein
condensates (BECs) illuminated by a two-spot laser beam. This laser beam introduces spin …

We introduce an exactly integrable nonlinear model describing the dynamics of spinor
solitons in space-dependent matrix gauge potentials of rather general types. The model is …

We analyze the existence and stability of two kinds of self-trapped spatially localized gap
modes, gap solitons and truncated nonlinear Bloch waves, in one-and two-dimensional …

We consider one-and two-dimensional (1D and 2D) optical or matter-wave media with a
maximum of the local self-repulsion strength at the center, and a minimum at periphery. If the …

We introduce a model which gives rise to self-trapping of fundamental and higher-order
localized states in a one-dimensional nonlinear Schrödinger equation with fractional …

Quantum droplets have recently emerged as a novel liquid state of matter in a mixture of two-
component ultracold Bose gases under the equilibrium condition between the competing …

It was recently found that excited states of semivortex and mixed-mode solitons are unstable
in spin-orbit-coupled Bose-Einstein condensates (BECs) with contact interactions. We …

This paper investigates the impact of fractional-order effects on the evolution behavior of
post-collapse vortices and the lifetime of ring dark solitons (RDSs) in spin–orbit coupled …