Topological photonics is a rapidly emerging field of research in which geometrical and
topological ideas are exploited to design and control the behavior of light. Drawing …

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 present gap solitons (GSs) that can be created in free nearly two-dimensional (2D)
space in dipolar spinor Bose-Einstein condensates with the spin-orbit coupling (SOC) …

We elaborate a mechanism for the formation of stable solitons of the semivortex type (with
vorticities 0 and 1 in their two components), populating a finite band gap in the spectrum of …

Topologically protected pseudospin transport, analogous to the quantum spin Hall effect,
cannot be strictly implemented for photons and in general bosons because of the lack of …

We explore a prototypical two-dimensional massive model of the nonlinear Dirac type and
examine its solitary wave and vortex solutions. In addition to identifying the stationary states …

We study solitons of the two-dimensional nonlinear Dirac equation with asymmetric cubic
nonlinearity. We show that with the nonlinearity parameters specifically tuned, a high degree …

We study dynamics of Dirac solitons in prototypical networks modeling them by the
nonlinear Dirac equation on metric graphs. Stationary soliton solutions of the nonlinear …

In this study, a standing wave in an optical nanocavity with Bose-Einstein condensate (BEC)
constitutes a one-dimensional optical lattice potential in the presence of a finite two bodies …

We consider a dimer lattice of the Fermi-Pasta-Ulam-Tsingou (FPUT) type, where alternating
linear couplings have a controllably small difference and the cubic nonlinearity (β-FPUT) is …