Exact Soliton Solutions for the (2+1)-Dimensional Coupled Higher-Order Nonlinear Schr¨odinger Equations in Birefringent Optical-Fiber Communication

被引：1

作者：

蔡跃进 ^{[1
]}

白成林 ^{[1
,2
]}

罗清龙 ^{[1
,2
]}

机构：

[1] School of Physics Science and Information Engineering, Liaocheng University

[2] Shandong Provincial Key Laboratory of Optical Communications Science and Technology

来源：

CommunicationsinTheoreticalPhysics | 2017年 / 67卷 / 03期

关键词：

(2+1)-dimensional coupled higher-order nonlinear Schrdinger equations; soliton solutions; symbolic computation; Hirota method; interactions;

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

学科分类号：

070104 ;

摘要：

In birefringent optical fibers, the propagation of femtosecond soliton pulses is described by coupled higherorder nonlinear Schrdinger equations. In this paper, we will investigate the bright and dark soliton solutions of(2+1)-dimensional coupled higher-order nonlinear Schrdinger equations, with the aid of symbolic computation and the Hirota method. On the basis of soliton solutions, we test and discuss the interactions graphically between the solitons in the x-z, x-t, and z-t planes.

引用

页码：273 / 279

页数：7

共 33 条

[31] Phase shift, oscillation and collision of the anti-dark solitons for the (3+1)-dimensional coupled nonlinear Schrödinger equation in an optical fiber communication system [J].

Weitian Yu ;

Wenjun Liu ;

Houria Triki ;

Qin Zhou ;

Anjan Biswas .

Nonlinear Dynamics, 2019, 97 :1253-1262

[32] Symbolic computation and Novel solitons, traveling waves and soliton-like solutions for the highly nonlinear (2+1)-dimensional Schrödinger equation in the anomalous dispersion regime via newly proposed modified approach [J].

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Optical and Quantum Electronics, 2023, 55

[33] The G′G,1G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left( \frac{\boldsymbol{G}^{\prime }}{\boldsymbol{G}},\frac{\boldsymbol{1}}{\boldsymbol{G}}\right)$$\end{document}-expansion method and its applications for constructing many new exact solutions of the higher-order nonlinear Schrödinger equation and the quantum Zakharov–Kuznetsov equation [J].

Elsayed M. E. Zayed ;

Ayad M. Shahoot ;

Khaled A. E. Alurrfi .

Optical and Quantum Electronics, 2018, 50 (2)

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