By means of variational methods and systematic numerical analysis, we demonstrate the
existence of metastable solitons in three dimensional (3D) free space, in the context of …

This article presents a concise survey of basic discrete and semi-discrete nonlinear models,
which produce two-and three-dimensional (2D and 3D) solitons, and a summary of the main …

We present an analysis of two-dimensional (2D) matter-wave solitons, governed by the
pseudospinor system of Gross-Pitaevskii equations with self-and cross attraction, which …

We report families of two-dimensional (2D) composite solitons in spinor dipolar Bose-
Einstein condensates, with two localized components linearly mixed by the spin-orbit …

Solitons play a fundamental role in the dynamics of nonlinear excitations. Here we explore
the motion of solitons in one-dimensional Bose-Einstein condensates subjected to a spin …

We study modulation instability (MI) of flat states in two-component spin-orbit-coupled (SOC)
Bose-Einstein condensates (BECs) in the framework of coupled Gross-Pitaevskii equations …

We report the coexistence and properties of stable compact localized states (CLSs) and
discrete solitons (DSs) for nonlinear spinor waves on a flat-band network with spin-orbit …

An overview is given of basic models combining discreteness in their linear parts (ie, the
models are built as dynamical lattices) and nonlinearity acting at sites of the lattices or …

Solitons are self-trapped modes existing in various nonlinear systems. Creating stable
solitons in two-and three-dimensional settings is a challenging goal in various branches of …

We analyze the possibility of macroscopic quantum effects in the form of coupled structural
oscillations and shuttle motion of bright two-component spin-orbit-coupled striped (one …