Construction of Multi-soliton Solutions of the N-Coupled Hirota Equations in an Optical Fiber

被引：31

作者：

Kang, Zhou-Zheng ^{[1
,2
]}

Xia, Tie-Cheng ^{[1
]}

机构：

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

[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2019年 / 36卷 / 11期

基金：

中国国家自然科学基金;

关键词：

SOLITON-LIKE SOLUTIONS; DARBOUX TRANSFORMATIONS;

D O I：

10.1088/0256-307X/36/11/110201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This work aims to study the N-coupled Hirota equations in an optical fiber under the zero boundary condition at infinity. By analyzing the spectral problem, a matrix Riemann?Hilbert problem on the real axis is strictly established. Then, by solving the presented matrix Riemann?Hilbert problem under the constraint of no reflection, the bright multi-soliton solutions to the N-coupled Hirota equations are explicitly gained.

引用

页数：5

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