Inverse Scattering Transform for Nonlinear Schrodinger Systems on a Nontrivial Background: A Survey of Classical Results, New Developments and Future Directions

被引：5
作者：
Prinari, Barbara [1 ]
机构：
[1] SUNY Buffalo, Dept Math, Buffalo, NY 14260 USA
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2023年 / 30卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
Nonlinear Schrodinger systems; Integrable systems; Inverse scattering transform; Solitons; LONG-TIME ASYMPTOTICS; DISPERSIVE DIELECTRIC FIBERS; DEFOCUSING MANAKOV SYSTEM; ZAKHAROV-SHABAT OPERATOR; RIEMANN-HILBERT PROBLEMS; STEEPEST DESCENT METHOD; DARK SOLITONS; MODULATION INSTABILITY; DISCRETE EIGENVALUES; BOUNDARY-CONDITIONS;
D O I：
10.1007/s44198-023-00120-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this topical review paper we provide a survey of classical and more recent results on the IST for one-dimensional scalar, vector and square matrix NLS systems on the line ( -8 < x < 8) with certain physically relevant non-zero boundary conditions at space infinity, discuss some new developments and applications, and offer some perspectives about future directions on the subject.
引用
收藏
页码：317 / 383
页数：67
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