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 …

Via the N th Darboux transformation, a chain of nonsingular localized-wave solutions is
derived for a nonlocal nonlinear Schrödinger equation with the self-induced parity-time (PT) …

We investigate the dynamical behavior of continuous and discrete Schrödinger systems
exhibiting parity-time (PT) invariant nonlinearities. We show that such equations behave in a …

We study the modulational instability and soliton solution for nonlocal Kundu–Eckhaus (KE)
equation which is distinctly different from KE equation. KE equation can describe the …

A two component nonlocal vector nonlinear Schrödinger equation (VNLSE) is considered
with a self-induced parity-time-symmetric potential. It is shown that the system possess a Lax …

Symmetry underpins our understanding of physical law. Open systems, those in contact with
their environment, can provide a platform to explore parity-time symmetry. While classical …

A $\mathcal {PT} $-symmetric nonlinear Schr\" odinger dimer is a two-site discrete nonlinear
Schr\" odinger equation with one site losing and the other one gaining energy at the same …

In the actively coupled (AC) pair of waveguides, the growth of small perturbations is
saturated by the focusing nonlinearity that couples the linearly growing mode to the linearly …

We show that a pair of coupled nonlinear oscillators, of which one oscillator has positive and
the other one negative damping of equal rate, can form a Hamiltonian system. Small …