典型文献
RIEMANN-HILBERT PROBLEMS AND SOLITON SOLUTIONS OF NONLOCAL REVERSE-TIME NLS HIERARCHIES
文献摘要：
The paper aims at establishing Riemann-Hilbert problems and presenting soliton solutions for nonlocal reverse-time nonlinear Schr(o)dinger (NLS) hierarchies associated with higher-order matrix spectral problems.The Sokhotski-Plemelj formula is used to transform the Riemann-Hilbert problems into Gelfand-Levitan-Marchenko type integral equations.A new formulation of solutions to special Riemann-Hilbert problems with the identity jump matrix,corresponding to the reflectionless inverse scattering transforms,is proposed and applied to construction of soliton solutions to each system in the considered nonlocal reverse-time NLS hierarchies.
文献关键词：
中图分类号：
作者姓名：
Wenxiu MA
作者机构：
Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China;Department of Mathematics,King Abdulaziz University,Jeddah 21589,Saudi Arabia;Department of Mathematics and Statistics,University of South Florida,Tampa,FL 33620-5700,USA;School of Mathematical and Statistical Sciences,North-West University,Mafikeng Campus,Private Bag X2046,Mmabatho 2735,South Africa
文献出处：
引用格式：
[1]Wenxiu MA-.RIEMANN-HILBERT PROBLEMS AND SOLITON SOLUTIONS OF NONLOCAL REVERSE-TIME NLS HIERARCHIES)[J].数学物理学报（英文版）,2022(01):127-140
A类：
RIEMANN,HILBERT,PROBLEMS,SOLITON,NONLOCAL,REVERSE,HIERARCHIES,Sokhotski,Plemelj,Marchenko
B类：
AND,SOLUTIONS,OF,TIME,NLS,paper,aims,establishing,Riemann,Hilbert,problems,presenting,soliton,solutions,nonlocal,reverse,nonlinear,Schr,dinger,hierarchies,associated,higher,order,matrix,spectral,used,into,Gelfand,Levitan,type,integral,equations,new,formulation,special,identity,jump,corresponding,reflectionless,inverse,scattering,transforms,proposed,applied,construction,each,system,considered
AB值：
0.498526
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