The experimental and theoretical research of spin–orbit-coupled ultracold atomic gases has
advanced and expanded rapidly in recent years. Here, we review some of the progress that …

We report on the existence and stability of freely moving solitons in a spatially
inhomogeneous Bose-Einstein condensate with helicoidal spin-orbit (SO) coupling. In spite …

We consider two-dimensional spin-orbit-coupled atomic Bose-Einstein condensate in a
radially periodic potential. The system supports different types of stable self-sustained states …

The combination of the two hot topics of spin-orbit coupling and honeycomb lattices leads to
the appearance of fascinating issues. In this paper, we investigate the existence and stability …

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 investigate families of soliton solutions in a spin-orbit-coupled Bose-Einstein condensate
embedded in an optical lattice, which bifurcate from the nearly flat lowest band. Unlike the …

A simple and efficient method to create gap solitons is proposed in a spin-orbit-coupled spin-
1 Bose-Einstein condensate. We find that a free expansion along the spin-orbit coupling …

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 study a two-dimensional spin-orbit-coupled dipolar Bose-Einstein condensate with
repulsive contact interactions by both the variational method and the imaginary-time …

Our results demonstrate that fundamental and tripole matter-wave gap solitons can be stable
in spin-orbit-coupled Bose-Einstein condensates (SOC-BECs) in one-dimensional (1D) …