An exactly solvable discrete PT invariant nonlinear Schrödinger-like model is introduced. It
is an integrable Hamiltonian system that exhibits a nontrivial nonlinear PT symmetry. A …

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 …

Two-dimensional parity-time (PT) symmetric potentials are introduced, which allow the
existence of spatial solitons in the model of the strongly nonlocal nonlinear Schrödinger …

We develop a nonstandard bilinearization procedure to generate more general bright
soliton, breather soliton and quasi-rogue wave solutions for the PT-symmetric coupled …

A family of new one-parameter (ϵ x=±1) nonlinear wave models (called G ϵ x (nm) model) is
presented, including both the local (ϵ x= 1) and new integrable nonlocal (ϵ x=− 1) general …

We report branches of explicit expressions for nonlinear modes in parity-time (PT)-symmetric
potentials of several types. For the single-well and double-well potentials the found solutions …

We derive analytical spatial soliton solutions of a (2+ 1)-dimensional nonlinear Schrödinger
equation with power-law nonlinearity in PT PT-symmetric potentials. The stability of these …

The existence of localized modes supported by the PT-symmetric nonlinear lattices is
reported. The system considered reveals unusual properties: unlike other typical dissipative …

A new integrable nonlocal nonlinear Schrödinger equation is introduced. It possesses a Lax
pair and an infinite number of conservation laws and is PT symmetric. The inverse scattering …

We investigate the effect of competing nonlinearities on beam dynamics in PT-symmetric
potentials. In particular, we consider the stationary nonlinear Schrödinger equation (NLSE) …