Nonlinear stage of modulation instability

Vladimir E Zakharov, A. A. Gelash

Research output: Contribution to journalArticle

139 Citations (Scopus)

Abstract

We study the nonlinear stage of the modulation instability of a condensate in the framework of the focusing nonlinear Schrödinger equation (NLSE). We find a general N-solitonic solution of the focusing NLSE in the presence of a condensate by using the dressing method. We separate a special designated class of "regular solitonic solutions" that do not disturb phases of the condensate at infinity by coordinate. All regular solitonic solutions can be treated as localized perturbations of the condensate. We find an important class of "superregular solitonic solutions" which are small perturbations at a certain moment of time. They describe the nonlinear stage of the modulation instability of the condensate.

Original languageEnglish (US)
Article number054101
JournalPhysical Review Letters
Volume111
Issue number5
DOIs
StatePublished - Jul 29 2013

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condensates
modulation
nonlinear equations
perturbation
infinity
moments

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Nonlinear stage of modulation instability. / Zakharov, Vladimir E; Gelash, A. A.

In: Physical Review Letters, Vol. 111, No. 5, 054101, 29.07.2013.

Research output: Contribution to journalArticle

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