Dynamics of the breathers and rogue waves in the higher-order nonlinear Schrödinger equation

In this paper, the higher-order nonlinear Schrödinger equation, which can be widely used to describe the dynamics of the ultrashort pulses in optical fibers, is under investigation. By means of the modified Darboux transformation, the hierarchies of breather wave and rogue wave solutions are generat...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematics letters Vol. 86; pp. 298 - 304
Main Authors Wang, Xiu-Bin, Zhang, Tian-Tian, Dong, Min-Jie
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2018
Subjects
Breather waves
Rogue waves
The higher-order nonlinear Schrödinger (HNLS) equation
The higher-order nonlinear Schrödinger (HNLS) equation
Rogue waves
Breather waves
Online AccessGet full text

Cover

More Information
Summary:In this paper, the higher-order nonlinear Schrödinger equation, which can be widely used to describe the dynamics of the ultrashort pulses in optical fibers, is under investigation. By means of the modified Darboux transformation, the hierarchies of breather wave and rogue wave solutions are generated from the trivial solution. Furthermore, the main characteristics of the breather and rogue waves are graphically discussed. The results show that the extreme behavior of the breather wave yields the rogue wave for the higher-order nonlinear Schrödinger equation.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2018.07.012