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 chapter introduces the basic ideas of P T-symmetric systems. It begins with a brief
discussion of closed (isolated) and open (non-isolated) systems and explains that P T …

It is generally assumed that a Hamiltonian for a physically acceptable quantum system (one
that has a positive-definite spectrum and obeys the requirement of unitarity) must be …

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 …

We introduce a new unified two-parameter {(ϵ x, ϵ t)| ϵ x, t=±1} wave model (simply called
Q ϵ x, ϵ t (n) model), connecting integrable local and nonlocal vector nonlinear Schrödinger …

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 consider nonlinear analogs of parity-time-(PT-) symmetric linear systems exhibiting
defocusing nonlinearities. We study the ground state and odd excited states (dark solitons …

By rearrangements of waveguide arrays with gain and losses one can simulate
transformations among parity-time (PT-) symmetric systems not affecting their pure real …

We show that parity-time-(PT-) symmetric coupled optical waveguides with gain and loss
support localized oscillatory structures similar to the breathers of the classical ϕ 4 model …