Modulation instability in higher-order nonlinear Schrödinger equations

Amdad Chowdury; Adrian Ankiewicz; Nail Akhmediev; Wonkeun Chang

doi:10.1063/1.5053941

Modulation instability in higher-order nonlinear Schrödinger equations

Amdad Chowdury, Adrian Ankiewicz, Nail Akhmediev, Wonkeun Chang

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

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.

Original language	English
Article number	123116
Journal	Chaos
Volume	28
Issue number	12
DOIs	https://doi.org/10.1063/1.5053941
Publication status	Published - 1 Dec 2018

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title = "Modulation instability in higher-order nonlinear Schr{\"o}dinger equations",

abstract = "We investigate the dynamics of modulation instability (MI) and the corresponding breather solutions to the extended nonlinear Schr{\"o}dinger 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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AU - Chowdury, Amdad

AU - Ankiewicz, Adrian

AU - Akhmediev, Nail

AU - Chang, Wonkeun

PY - 2018/12/1

Y1 - 2018/12/1

N2 - 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.

AB - 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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Modulation instability in higher-order nonlinear Schrödinger equations

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