Nonlinear stage of modulation instability

V. E. Zakharov, A. A. Gelash

Research output: Contribution to journalArticlepeer-review

229 Scopus citations


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
Issue number5
StatePublished - Jul 29 2013

ASJC Scopus subject areas

  • General Physics and Astronomy


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