Integrable nonlocal derivative nonlinear Schrödinger equations. (1st June 2022)

• Record Type: Journal Article
• Authors: Ablowitz, Mark J; Luo, Xu-Dan; Musslimani, Ziad H; Zhu, Yi
• Is Part Of: Inverse problems. Volume 38:Number 6(2022)
• Publication Date: 2022-06-01
• Subjects: inverse scattering transform -- Riemann–Hilbert problems -- Gel'fand–Levitan–Marchenko equations -- the derivative NLS equations -- solitons; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/ac5f75
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: Integrable standard and nonlocal derivative nonlinear Schrödinger equations are investigated. The direct and inverse scattering are constructed for these equations; included are both the Riemann–Hilbert and Gel'fand–Levitan–Marchenko approaches and soliton solutions. As a typical application, it is shown how these derivative NLS equations can be obtained as asymptotic limits from a nonlinear Klein–Gordon equation.