In this paper, a novel general nonlocal reverse-time nonlinear Schrödinger (NLS) equation
involving two real parameters is proposed from a general coupled NLS system by imposing …

By extending the traditional Riemann–Hilbert (RH) approach of soliton equations to a novel
version, this paper is devoted to studying two shifted nonlocal NLS equations: a reverse-time …

Solitons are a class of nonlinear stable, localized waves. They arise widely in physical
problems; applications include water waves, plasma physics, Bose–Einstein condensation …

By imposing a nonlocal reverse-space symmetry constraint on a general coupled nonlinear
Schrödinger (NLS) equation, we propose a new general nonlocal reverse-space NLS …

In this paper, we consider the Cauchy problem for the integrable nonlocal derivative
nonlinear Schrödinger (DNLS) equation with step-like initial data. The main aim is to obtain …

We systematically investigate the nonlocal Gerdjikov-Ivanov (nGI) equation with non-
vanishing boundary conditions by means of the inverse scattering transform method. We …

Since the P T-symmetric nonlocal equations contain the physical information of the P T-
symmetric, it is very appropriate to embed the physical information of the P T-symmetric into …

With a vanishing boundary condition, we consider a revised Riemann–Hilbert problem
(RHP) for the derivative nonlinear Schrödinger equation (DNLS), where an integral factor is …

We investigate the local and nonlocal integrable reductions of the multi-component Kaup–
Newell equations and derive a range of novel integrable derivative nonlinear Schrödinger …

Abstract Utilizing the Riemann-Hilbert (RH) approach, we shed light on the spectral structure
of a defocusing shifted nonlocal NLS equation with a space-shifted parameter from which …