INTEGRABILITY OF THE VECTOR NONLINEAR SCHRODINGER-MAXWELL-BLOCH EQUATION AND THE CAUCHY MATRIX APPROACH

被引：1

作者：

Zhou, Hui ^{[1
]}

Huang, Yehui ^{[2
]}

Yao, Yuqin ^{[1
]}

机构：

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

[2] North China Elect Power Univ, Sch Math & Phys, Beijing, Peoples R China

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2023年 / 215卷 / 03期

基金：

中国国家自然科学基金;

关键词：

vector nonlinear Schrodinger-Maxwell-Bloch equation; zero-curvature equation; Cauchy matrix approach; soliton solution; SELF-INDUCED-TRANSPARENCY; SOLITONS; SYSTEM;

D O I：

10.1134/S0040577923060053

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the integrability and soliton solutions of the vector nonlinear Schrodinger-Maxwell-Bloch (VNLS-MB) equation. This equation is derived using the generalized partial derivative-dressing method in a local 4 x 4 matrix partial derivative-problem. The vector nonlinear Schrodinger equation with self-consistent sources (VNLSSCS) is obtained and is proved to be equivalent to the VNLS-MB equation. Starting with Sylvester equation and the equivalence between the VNLS-MB and VNLSSCS equations, the N-soliton solutions of the VNLS-MB equation are successfully obtained by the Cauchy matrix approach. As an application, some interesting patterns of dynamical behavior are displayed.

引用

页码：805 / 822

页数：18

共 27 条

[1] COHERENT PULSE-PROPAGATION, A DISPERSIVE, IRREVERSIBLE PHENOMENON [J].