An initial-boundary value problem for the general three-component nonlinear Schrödinger equations on a finite interval

• Published in: IMA journal of applied mathematics Vol. 86; no. 3; pp. 427 - 489
• Main Author: Yan, Zhenya
• Format: Journal Article
• Language: English
• Published: Oxford University Press 01.06.2021
• Subjects: Gel’fand–Levitan–Marchenko representation; general three-component nonlinear Schrödinger equations; global relation; Dirichlet and Neumann problems; inverse scattering; initial-boundary value problem; Riemann–Hilbert problem

Abstract The general three-component nonlinear Schrödinger (gtc-NLS) equations are completely integrable and contain the self-focusing, defocusing and mixed cases, which are applied in many physical fields. In this paper, we would like to use the Fokas method to explore the initial-boundary value (I...