Modulation instability in higher-order nonlinear Schrödinger equations

Modulation instability in higher-order nonlinear Schrödinger equations

We investigate the dynamics of modulation instability (MI) and the corresponding breather solutions to the extended nonlinear Schrödinger equation that describes the full scale growth-decay cycle of MI. As an example, we study modulation instability in connection with the fourth-order equation in de...

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Bibliographic Details
Main Authors: Chowdury, Amdad, Ankiewicz, Adrian, Akhmediev, Nail, Chang, Wonkeun
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2022
Subjects:
Engineering::Electrical and electronic engineering
Modulation Instability
Schrödinger Equation
Online Access:https://hdl.handle.net/10356/157565
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Institution: Nanyang Technological University
Language: English
Description
Summary:We investigate the dynamics of modulation instability (MI) and the corresponding breather solutions to the extended nonlinear Schrödinger equation that describes the full scale growth-decay cycle of MI. As an example, we study modulation instability in connection with the fourth-order equation in detail. The higher-order equations have free parameters that can be used to control the growth-decay cycle of the MI; that is, the growth rate curves, the time of evolution, the maximal amplitude, and the spectral content of the Akhmediev Breather strongly depend on these coefficients.

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