Wave instability under short-wave amplitude modulations

Benno Rumpf, Alan C Newell

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)1260-1263
Number of pages4
JournalPhysics Letters A
Volume377
Issue number18
DOIs
StatePublished - Aug 1 2013

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carrier waves
pulses
wavelengths

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Wave instability under short-wave amplitude modulations. / Rumpf, Benno; Newell, Alan C.

In: Physics Letters A, Vol. 377, No. 18, 01.08.2013, p. 1260-1263.

Research output: Contribution to journalArticle

Rumpf, Benno ; Newell, Alan C. / Wave instability under short-wave amplitude modulations. In: Physics Letters A. 2013 ; Vol. 377, No. 18. pp. 1260-1263.
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