scholarly journals Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions

2018 ◽  
Vol 368 ◽  
pp. 22-49 ◽  
Author(s):  
Barbara Prinari ◽  
Francesco Demontis ◽  
Sitai Li ◽  
Theodoros P. Horikis
Keyword(s):  
Boundary Conditions ◽  
Inverse Scattering ◽  
Soliton Solutions ◽  
Inverse Scattering Transform ◽  
Nonlinear Schrödinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Scattering Transform ◽  
Nonlinear Schrodinger Equations ◽  
Square Matrix

Inverse scattering for nonlocal reverse-space multicomponent nonlinear Schrödinger equations

2021 ◽  
Vol 35 (04) ◽  
pp. 2150051
Author(s):  
Wen-Xiu Ma ◽  
Yehui Huang ◽  
Fudong Wang
Keyword(s):  
Inverse Scattering ◽  
Soliton Solutions ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Scattering Problems ◽  
Nonlinear Schrödinger ◽  
Plemelj Formula ◽  
Nonlinear Schrodinger Equations ◽  
Generalized Matrix

The paper aims to discuss nonlocal reverse-space multicomponent nonlinear Schrödinger equations and their inverse scattering transforms. The inverse scattering problems are analyzed by means of Riemann–Hilbert problems, and Gelfand–Levitan–Marchenko-type integral equations for generalized matrix Jost solutions are determined by the Sokhotski–Plemelj formula. Soliton solutions are generated from the reflectionless transforms associated with zeros of the Riemann–Hilbert problems.

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