WAVE AMPLIFICATION OUTSIDE OF THE MODULATION INSTABILITY BAND

Stanko N. Nikolić; Najdan B. Aleksić; Wieslav Krolikowski; Milivoj R. Belić; Nail Akhmediev

doi:10.59277/RomJPhys.2023.68.115

WAVE AMPLIFICATION OUTSIDE OF THE MODULATION INSTABILITY BAND

Stanko N. Nikolić^*, Najdan B. Aleksić, Wieslav Krolikowski, Milivoj R. Belić, Nail Akhmediev

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

We show that linear stability analysis not only describes the effect of modulation instability of a plane wave in nonlinear media but it also predicts significant wave amplification outside of the standard instability band. As an example, we consider the classic MI in the case of the nonlinear Schrödinger equation. However, similar amplification may take place in many other nonlinear media that admit modulation instability.

Original language	English
Article number	115
Journal	Romanian Journal of Physics
Volume	68
Issue number	9-10
DOIs	https://doi.org/10.59277/RomJPhys.2023.68.115
Publication status	Published - 2023
Externally published	Yes

Keywords

Nonlinear Schrödinger equation
modulation instability

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10.59277/RomJPhys.2023.68.115

Cite this

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title = "WAVE AMPLIFICATION OUTSIDE OF THE MODULATION INSTABILITY BAND",

abstract = "We show that linear stability analysis not only describes the effect of modulation instability of a plane wave in nonlinear media but it also predicts significant wave amplification outside of the standard instability band. As an example, we consider the classic MI in the case of the nonlinear Schr{\"o}dinger equation. However, similar amplification may take place in many other nonlinear media that admit modulation instability.",

keywords = "Nonlinear Schr{\"o}dinger equation, modulation instability",

author = "Nikoli{\'c}, {Stanko N.} and Aleksi{\'c}, {Najdan B.} and Wieslav Krolikowski and Beli{\'c}, {Milivoj R.} and Nail Akhmediev",

year = "2023",

doi = "10.59277/RomJPhys.2023.68.115",

language = "English",

volume = "68",

journal = "Romanian Journal of Physics",

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T1 - WAVE AMPLIFICATION OUTSIDE OF THE MODULATION INSTABILITY BAND

AU - Nikolić, Stanko N.

AU - Aleksić, Najdan B.

AU - Krolikowski, Wieslav

AU - Belić, Milivoj R.

AU - Akhmediev, Nail

PY - 2023

Y1 - 2023

N2 - We show that linear stability analysis not only describes the effect of modulation instability of a plane wave in nonlinear media but it also predicts significant wave amplification outside of the standard instability band. As an example, we consider the classic MI in the case of the nonlinear Schrödinger equation. However, similar amplification may take place in many other nonlinear media that admit modulation instability.

AB - We show that linear stability analysis not only describes the effect of modulation instability of a plane wave in nonlinear media but it also predicts significant wave amplification outside of the standard instability band. As an example, we consider the classic MI in the case of the nonlinear Schrödinger equation. However, similar amplification may take place in many other nonlinear media that admit modulation instability.

KW - Nonlinear Schrödinger equation

KW - modulation instability

UR - http://www.scopus.com/inward/record.url?scp=85177560906&partnerID=8YFLogxK

U2 - 10.59277/RomJPhys.2023.68.115

DO - 10.59277/RomJPhys.2023.68.115

M3 - Article

AN - SCOPUS:85177560906

SN - 1221-146X

VL - 68

JO - Romanian Journal of Physics

JF - Romanian Journal of Physics

IS - 9-10

M1 - 115

ER -

WAVE AMPLIFICATION OUTSIDE OF THE MODULATION INSTABILITY BAND

Abstract

Keywords

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