Binary Darboux transformation of vector nonlocal reverse-time integrable NLS equations

被引：41

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, Dept Math Sci, Mat Sci Innovat & Modelling, Mafikeng Campus, ZA-2735 Mmabatho, South Africa

来源：

CHAOS SOLITONS & FRACTALS | 2024年 / 180卷

关键词：

Nonlocal integrable equation; Darboux transformation; Soliton; INVERSE SCATTERING TRANSFORM; RIEMANN-HILBERT PROBLEMS; SOLITON-SOLUTIONS; DYNAMICS; SYSTEM;

D O I：

10.1016/j.chaos.2024.114539

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to study vector nonlocal reverse-time NLS (nonlinear Schrodinger) equations and present a binary Darboux transformation by utilizing two sets of eigenfunctions and adjoint eigenfunctions. A product of ��single binary Darboux transformations is explored for the resultant binary Darboux transformation. A class of soliton solutions is generated by an application starting from the zero seed potential.

引用

页数：7

共 42 条

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