The N-soliton solutions to the Hirota and Maxwell-Bloch equation via the Riemann-Hilbert approach

被引：2

作者：

Li, Jian ^{[1
]}

Xia, Tiecheng ^{[1
]}

Wei, Hanyu ^{[2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Zhoukou Normal Univ, Coll Math & Stat, Zhoukou 466001, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2021年 / 35卷 / 11期

关键词：

Hirota and Maxwell-Bloch equation; Riemann-Hilbert problem; N-soliton solutions; Lax pair; integrable equation; NONLINEAR SCHRODINGER-EQUATION; LONG-TIME ASYMPTOTICS; DE-VRIES EQUATION;

D O I：

10.1142/S0217979221501538

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, we study the N-soliton solutions for the Hirota and Maxwell-Bloch equation with physical meaning. From the Lax pair and Volterra integral equations, the Riemann-Hilbert problem of this integrable equation is constructed. By solving the matrix Riemann-Hilbert problem with the condition of no reflecting, the N-soliton solutions for the Hirota and Maxwell-Bloch equation are obtained explicitly. Finally, we simulate the three-dimensional diagram of |E| with 2-soliton solutions and the motion trajectory of t-axis in the case of different z.

引用

页数：9