In this paper, we are concerned with the Riemann–Hilbert approach for the higher-order
Gerdjikov–Ivanov equation with nonzero boundary conditions. A uniformization variable will …

Nonlinear dynamics of an optical pulse or a beam continue to be one of the active areas of
research in the field of optical solitons. Especially, in multi-mode fibers or fiber arrays 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 this paper, we present a systematical inverse scattering transform for both focusing and
defocusing nonlocal (reverse-space–time) modified Korteweg–de Vries (mKdV) equations …

Nonlocal reverse space‐time Sine/Sinh‐Gordon type equations were recently introduced.
They arise from a remarkably simple nonlocal reduction of the well‐known AKNS scattering …

In this topical review paper we provide a survey of classical and more recent results on the
IST for one-dimensional scalar, vector and square matrix NLS systems on the line (-∞< …

We explore the inverse scattering transforms with matrix Riemann–Hilbert problems for both
focusing and defocusing modified Korteweg–de Vries (mKdV) equations with non-zero …

Nonlocal reverse space–time equations of the nonlinear Schrödinger (NLS) type were
recently introduced. They were shown to be integrable infinite-dimensional dynamical …

The inverse scattering transform for the focusing non-linear Schrödinger (NLS) equation with
non-zero boundary conditions at infinity and double zeros of the analytic scattering …

In this paper, we study the inverse scattering transform for the coupled modified Korteweg-
de Vries (cmKdV) equation with nonzero boundary conditions (NZBCs) at infinity. In order to …