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 …

The inverse scattering transform for the focusing nonlinear Schrödinger equation with non-
zero boundary conditions at infinity is presented, including the determination of 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 …

N‐dark–dark solitons in the integrable coupled NLS equations are derived by the KP‐
hierarchy reduction method. These solitons exist when nonlinearities are all defocusing, or …

Under investigation in this paper is the coupled nonlinear Schrödinger system which
describes the mode-locked fiber lasers. Based on the Hirota method and Kadomtsev …

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 …

In this paper, we investigate the inverse scattering transforms and soliton solutions of both
focusing and defocusing Hirota equations with non-zero boundary conditions (NZBCs). The …

A rigorous theory of the inverse scattering transform for the defocusing nonlinear
Schrödinger equation with nonvanishing boundary values as is presented. The direct …