Matrix integrable fifth-order mKdV equations and their soliton solutions

被引：34

作者：

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

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, 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：

CHINESE PHYSICS B | 2023年 / 32卷 / 02期

基金：

中国国家自然科学基金;

关键词：

matrix integrable equation; Riemann-Hilbert problem; soliton; RIEMANN-HILBERT APPROACH; ROGUE WAVES;

D O I：

10.1088/1674-1056/ac7dc1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider matrix integrable fifth-order mKdV equations via a kind of group reductions of the Ablowitz-Kaup-Newell-Segur matrix spectral problems. Based on properties of eigenvalue and adjoint eigenvalue problems, we solve the corresponding Riemann-Hilbert problems, where eigenvalues could equal adjoint eigenvalues, and construct their soliton solutions, when there are zero reflection coefficients. Illustrative examples of scalar and two-component integrable fifth-order mKdV equations are given.

引用

页数：6

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