Recent progress on nonlinear properties of parity-time (PT)-symmetric systems is
comprehensively reviewed in this article. PT symmetry started out in non-Hermitian quantum …

One of the challenges of the modern photonics is to develop all‐optical devices enabling
increased speed and energy efficiency for transmitting and processing information on an …

This article offers a review of (chiefly, theoretical) results for self-trapped states (solitons) in
two-and three-dimensional (2D and 3D) models of nonlinear dissipative media. The …

We present a theoretical scheme for generating vortex light bullets (LBs) in a Rydberg
atomic system. The stability property and propagation dynamics of vortex LBs with different …

We address the properties of fully three-dimensional solitons in complex parity-time (PT)-
symmetric periodic lattices with focusing Kerr nonlinearity, and uncover that such lattices can …

We propose a method to generate a real-energy flat band in a two-dimensional (2D) non-
Hermitian Lieb lattice. The coincidence of the flat-band eigenstate in both real and …

We introduce partially-parity-time (p PT)-symmetric azimuthal potentials composed from
individual PT-symmetric cells located on a ring, where two azimuthal directions are …

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) …

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 …

We introduce a model based on the one-dimensional nonlinear Schrödinger equation with
critical (quintic) or supercritical self-focusing nonlinearity. We demonstrate that a family of …