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 …

Canonical quantum mechanics postulates Hermitian Hamiltonians to ensure real
eigenvalues. Counterintuitively, a non-Hermitian Hamiltonian, satisfying combined parity …

When a planar dielectric medium has a permittivity profile that is an analytic function in the
upper or lower half of the complex position plane x= x′+ ix ″then the real and imaginary …

Stability of solitons in parity-time (PT)-symmetric periodic potentials (optical lattices) is
analyzed in both one-and two-dimensional systems. First we show analytically that when the …

In this paper, the partially party‐time () symmetric nonlocal Davey–Stewartson (DS)
equations with respect to x is called x‐nonlocal DS equations, while a fully symmetric …

Families of analytical solutions are found for symmetric and antisymmetric solitons in a dual-
core system with Kerr nonlinearity and parity-time (PT)-balanced gain and loss. The crucial …

The observation of PT symmetry in a coupled optical waveguide system that involves a
complex refractive index has been demonstrated impressively in the experiment by Rüter et …

We show that defocusing Kerr media with parity-time-symmetric potentials can support one-
and two-dimensional bright spatial solitons. These solitons are found to be stable over the …

We study non-Hermitian photonic lattices that exhibit competition between conservative and
non-Hermitian (gain/loss) couplings. A bipartite sublattice symmetry enforces the existence …

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 …