Wave instability under short-wave amplitude modulations

Benno Rumpf; Alan C. Newell

doi:10.1016/j.physleta.2013.03.015

Wave instability under short-wave amplitude modulations

Benno Rumpf, Alan C. Newell

Mathematics

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

5 Scopus citations

Abstract

The instabilities of nonlinear waves with a square-root dispersion ω∼|k| are studied. We present a new type of instability that affects wavelengths of the order of the carrier wave. This instability can initiate the formation of collapses and of narrow pulses.

Original language	English (US)
Pages (from-to)	1260-1263
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	377
Issue number	18
DOIs	https://doi.org/10.1016/j.physleta.2013.03.015
State	Published - Aug 1 2013

Keywords

Benjamin-Feir instability
Majda-McLaughlin-Tabak equation
Nonlinear waves

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.physleta.2013.03.015

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title = "Wave instability under short-wave amplitude modulations",

abstract = "The instabilities of nonlinear waves with a square-root dispersion ω∼|k| are studied. We present a new type of instability that affects wavelengths of the order of the carrier wave. This instability can initiate the formation of collapses and of narrow pulses.",

keywords = "Benjamin-Feir instability, Majda-McLaughlin-Tabak equation, Nonlinear waves",

author = "Benno Rumpf and Newell, {Alan C.}",

year = "2013",

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doi = "10.1016/j.physleta.2013.03.015",

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T1 - Wave instability under short-wave amplitude modulations

AU - Rumpf, Benno

AU - Newell, Alan C.

PY - 2013/8/1

Y1 - 2013/8/1

N2 - The instabilities of nonlinear waves with a square-root dispersion ω∼|k| are studied. We present a new type of instability that affects wavelengths of the order of the carrier wave. This instability can initiate the formation of collapses and of narrow pulses.

AB - The instabilities of nonlinear waves with a square-root dispersion ω∼|k| are studied. We present a new type of instability that affects wavelengths of the order of the carrier wave. This instability can initiate the formation of collapses and of narrow pulses.

KW - Benjamin-Feir instability

KW - Majda-McLaughlin-Tabak equation

KW - Nonlinear waves

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

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