The integrability, equivalence and solutions of two kinds of integrable deformed fourth-order matrix NLS equations

被引：1

作者：

Yao, Yuqin ^{[1
]}

Zhou, Hui ^{[1
]}

Li, Fei ^{[1
]}

机构：

[1] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Higher-order restricted flows; partial derivative-dressing method; Fourth-order matrix NLS equation; Cauchy matrix method; Soliton solution; INVERSE SCATTERING TRANSFORM; SOLITON-SOLUTIONS; CONSISTENT; HIERARCHY;

D O I：

10.1007/s11071-023-08275-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Based on the higher-order restricted flows, the first type of integrable deformed fourth-order matrix NLS equations, that is, the fourth-order matrix NLS equations with self-consistent sources (FMNLSSCS), is derived. By virtue of the partial derivative-dressing method, the second type of integrable deformed fourth-order matrix NLS equations called the fourth-order matrix NLS-Maxwell-Bloch system (FMNLS-MB) is presented. We prove the equivalence of the FMNLSSCS and the FMNLS-MB successfully. Furthermore, N-soliton solutions are explicitly obtained by means of the Cauchy matrix method starting from corresponding Sylvester equation.

引用

页码：8673 / 8685

页数：13

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