Modulation instability and breathers synchronization of the nonlinear Schrödinger Maxwell-Bloch equation
type: Item
instance of: scholarly article
title: Modulation instability and breathers synchronization of the nonlinear Schrödinger Maxwell-Bloch equation
zbMATH Open document ID: 1461.35199
author: Dawei Zuo
published in: Applied Mathematics Letters
publication date: 2021-03-04T00:00:00Z
review text: This paper discusses the nonlinear Schrödinger Maxwell-Bloch equation with a perturbation. By virtue of the Darboux and Joukowski transformation, three kinds of \(N\)-order breathers are obtained. The propagation and interaction of the breathers are studied. The spectrum parameter determines the types of the breathers and has an effect on the breathers syncronization/asynchronization. Breather asychronization is consistent with theories for relations of modulation instability and rogue waves. Modulation instability is also discussed in the paper.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 37K35
zbMATH DE Number: 7317555
zbMATH Keywords: nonlinear Schrödinger Maxwell-Bloch equation
zbMATH Keywords: modulation instability
zbMATH Keywords: breathers synchronization
reviewed by: Anthony D. Osborne
MaRDI profile type: Publication
full work available at URL: j.aml.2017.12.019
OpenAlex ID: W2780654617
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DOI: 10.1016/J.AML.2017.12.019
description: scientific article; zbMATH DE number 7317555