Sasa-Satsuma type matrix integrable hierarchies and their Riemann-Hilbert problems and soliton solutions

被引：59

作者：

Ma, Wen-Xiu ^{[1
,2
,3
,4
]}

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] North West Univ, Sch Math & Stat Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2023年 / 446卷

关键词：

Matrix spectral problem; Group reduction; Integrable hierarchy; Riemann-Hilbert problem; Inverse scattering transform; Soliton solution; INVERSE SCATTERING; EQUATIONS;

D O I：

10.1016/j.physd.2023.133672

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sasa-Satsuma type matrix integrable hierarchies are generated from taking two group reductions of replacing the spectral parameter with its complex conjugate and its negative in the matrix AKNS spectral problems. Based on the Lax pairs and the adjoint lax pairs, Riemann-Hilbert problems and thus inverse scattering transforms are formulated for the resulting Sasa-Satsuma type matrix integrable hierarchies, and their soliton solutions are generated from the associated reflectionless Riemann-Hilbert problems.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：11

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