RIEMANN-HILBERT PROBLEMS AND SOLITON SOLUTIONS OF NONLOCAL REVERSE-TIME NLS HIERARCHIES

被引：0
|
作者：
马文秀
机构：
[1] School of Mathematical and Statistical Sciences,North-West University,Mafikeng Campus
[2] Department of Mathematics,Zhejiang Normal University
[3] Department of Mathematics,King Abdulaziz University
[4] Department of Mathematics and Statistics,University of South Florida
来源：
ActaMathematicaScientia | 2022年 / 42卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
070104 ;
摘要：
The paper aims at establishing Riemann-Hilbert problems and presenting soliton solutions for nonlocal reverse-time nonlinear Schrodinger(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 reversetime NLS hierarchies.
引用
收藏
页码：127 / 140
页数：14
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