Inverse scattering transforms for non-local reverse-space matrix non-linear Schrödinger equations

• Published in: European journal of applied mathematics Vol. 33; no. 6; pp. 1062 - 1082
• Main Authors: MA, WEN-XIU, HUANG, YEHUI, WANG, FUDONG
• Format: Journal Article
• Language: English
• Published: Cambridge Cambridge University Press 01.12.2022
• Subjects: Applied mathematics; Integral equations; Inverse scattering; Mathematical analysis; Schrodinger equation; Solitary waves; Transformations (mathematics)

The aim of the paper is to explore non-local reverse-space matrix non-linear Schrödinger equations and their inverse scattering transforms. Riemann–Hilbert problems are formulated to analyse the inverse scattering problems, and the Sokhotski–Plemelj formula is used to determine Gelfand–Levitan–March...