Controllable behaviors of Peregrine soliton with two peaks in a birefringent fiber with higher-order effects

A coupled variable-coefficient higher-order nonlinear Schrödinger equation in birefringent fiber is discussed, and an analytical Peregrine soliton solution with two peaks is derived by means of the Darboux transformation method. The controllable behaviors of this Peregrine soliton with two peaks are...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear dynamics 2015-11, Vol.82 (3), p.1393-1398
Main Authors: Li, Ji-tao, Han, Jin-zhong, Du, Yuan-dong, Dai, Chao-Qing
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Dispersion
Dynamical Systems
Engineering
Excitation
Mathematical analysis
Mechanical Engineering
Original Paper
Schrodinger equation
Solitary waves
System effectiveness
Vibration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A coupled variable-coefficient higher-order nonlinear Schrödinger equation in birefringent fiber is discussed, and an analytical Peregrine soliton solution with two peaks is derived by means of the Darboux transformation method. The controllable behaviors of this Peregrine soliton with two peaks are investigated in a periodic dispersion system and a dispersion decreasing fiber with exponential profile. In these systems, the effective propagation distance Z appears a maximum Z m . Comparing this maximum with values of peak location Z p , the initial excitation, peak excitation, rear excitation and periodic excitation are constructed.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2246-3