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

页码：296 / 309

页数：14

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