Integrability and bright soliton solutions to the coupled nonlinear Schrodinger equation with higher-order effects

被引：120
|
作者：
Wang, Deng-Shan [1 ]
Yin, Shujuan [1 ]
Tian, Ye [2 ]
Liu, Yifang [3 ]
机构：
[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
[2] Hebei North Univ, Coll Sci, Dept Phys, Zhangjiakou 075000, Peoples R China
[3] Cent Univ Finance & Econ, Sch Econ, Beijing 100081, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 229卷
基金：
中国国家自然科学基金;
关键词：
Bright soliton; Prolongation structure; Higher-order effects; Linear spectral problem; Riemann-Hilbert formulation; DISPERSIVE DIELECTRIC FIBERS; OPTICAL SOLITONS; HIROTA EQUATION; PERTURBATION; TRANSMISSION; PULSES; MEDIA;
D O I：
10.1016/j.amc.2013.12.057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the integrability and exact bright soliton solutions to the coupled nonlinear Schrodinger equation with higher-order effects arising from nonlinear fiber medium. Firstly, the Lax integrability of this equation is investigated by prolongation technique and an integrable generalized coupled higher-order nonlinear Schrodinger equation is proposed. Then the general N bright-bright soliton solutions of this integrable equation are obtained by Riemann-Hilbert formulation and the collision dynamics between two solitons is analyzed. Finally, an integrable generalized n-coupled higher-order nonlinear Schrodinger equation together with its linear spectral problem are given. (c) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：296 / 309
页数：14
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