The N-soliton solution to the higher-order nonlinear Schrodinger-Maxwell-Bloch system via the Riemann-Hilbert approach

被引：0

作者：

Guo, Yuli ^{[1
]}

Zhang, Weiguo ^{[1
]}

Liu, Leilei ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Shanghai 200093, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 05期

基金：

中国国家自然科学基金;

关键词：

DISPERSIVE DIELECTRIC FIBERS; OPTICAL PULSES; TRANSMISSION; EQUATION;

D O I：

10.1063/5.0076361

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the N-soliton solution of the high-order nonlinear Schrodinger-Maxwell-Bloch system via the Riemann-Hilbert approach. Based on a Lax pair of the system, we carry out a spectral analysis and construct the corresponding Riemann-Hilbert problem. By solving the Riemann-Hilbert problem without reflection, we obtain the N-soliton solution of the system, especially the explicit expression of the single-soliton solution and the expression of the two-soliton solution. The partial three-dimensional diagrams of single-soliton and two-soliton solutions are also given. By comparing the diagrams, we also discuss the relationship between the parameters of the system and the soliton direction. Published under an exclusive license by AIP Publishing.

引用

页数：13