Inverse scattering for nonlocal reverse-time nonlinear Schrodinger equations

The paper aims to present the inverse scattering transforms and soliton solutions for nonlocal reverse-time nonlinear Schrodinger equations. The inverse scattering problems are formulated via Riemann-Hilbert problems, and their solutions are determined by the Sokhotski-Plemelj formula, which close the systems for the Jost solutions. Soliton solutions, corresponding to the reflectionless transforms, are generated from zeros and kernel vectors of the Riemann-Hilbert problems with the identity jump matrix. (C) 2019 Elsevier Ltd. All rights reserved.