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 …

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 …

A nonlocal nonlinear Schrödinger (NLS) equation was recently found by the authors and
shown to be an integrable infinite dimensional Hamiltonian equation. Unlike the classical …

A nonlocal nonlinear Schrödinger (NLS) equation was recently introduced and shown to be
an integrable infinite dimensional Hamiltonian evolution equation. In this paper a detailed …

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 …

In this paper, general higher-order freak wave solutions of the nonlocal nonlinear
Schrödinger equation (NLSE) with parity-time symmetric can be calculated theoretically via …

In natural and social science, many events happened at different space-times may be
closely correlated. Two events, A (Alice) and B (Bob) are defined correlated if one event is …

General N-solitons in three recently-proposed nonlocal nonlinear Schrödinger equations
are presented. These nonlocal equations include the reverse-space, reverse-time, and …

General soliton solutions to a nonlocal nonlinear Schrödinger (NLS) equation with PT-
symmetry for both zero and nonzero boundary conditions are considered via the …

In 2013, a new nonlocal symmetry reduction of the well-known AKNS (an integrable system
of partial differential equations, introduced by and named after Mark J. Ablowitz, David J …