Multi-place nonlocal systems have attracted attention from many scientists. In this paper, we
mainly review the recent progresses on two-place nonlocal systems (Alice-Bob systems) …

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 this paper, we systematically investigate the nonlocal Hirota equation with nonzero
boundary conditions via Riemann–Hilbert method and multi-layer physics-informed neural …

We construct the Darboux transformation for the reverse space–time (RST) nonlocal short
pulse equation by considering a nonlocal symmetry reduction of the Ablowitz–Kaup–Newell …

In this work, we study the inverse scattering transform of a nonlocal Hirota equation in detail,
and obtain the corresponding soliton solutions formula. Starting from the Lax pair of this …

In this paper, we mainly analyze the long-time asymptotics of high-order soliton for the Hirota
equation. Two different Riemann–Hilbert representations of Darboux matrices with high …

Three kinds of Darboux transformations are constructed by means of the loop group method
for the complex reverse space-time (RST) nonlocal modified Korteweg–de Vries equation …

In this paper, we systematically study the integrability and data-driven solutions of the
nonlocal mKdV equation. The infinite conservation laws of the nonlocal mKdV equation and …

In this paper, based on the Hirota and Maxwell–Bloch (H‐MB) system and its application in
the theory of the femtosecond pulse propagation through an erbium doped fiber, we define …

I will provide a pedagogical introduction to non-Hermitian quantum systems that are PT-
symmetric, that is they are left invariant under a simultaneous parity transformation (P) and …