Inverse scattering for nonlocal reverse-space multicomponent nonlinear Schrodinger equations

被引：4
|
作者：
Ma, Wen-Xiu [1 ,2 ,3 ,4 ,5 ]
Huang, Yehui [3 ,6 ]
Wang, Fudong [3 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[3] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[4] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China
[5] North West Univ, Dept Math Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa
[6] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2021年 / 35卷 / 04期
关键词：
Matrix spectral problem; nonlocal reduction; inverse scattering; Riemann– Hilbert problem; soliton solution; RIEMANN-HILBERT APPROACH; DE-VRIES EQUATION; SOLITON-SOLUTIONS; TRANSFORM; WAVES;
D O I：
10.1142/S021797922150051X
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
The paper aims to discuss nonlocal reverse-space multicomponent nonlinear Schrodinger 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.
引用
收藏
页数：20
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