Intermittency in generalized NLS equation with focusing six-wave interactions

D. S. Agafontsev, V. E. Zakharov

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We study numerically the statistics of waves for generalized one-dimensional Nonlinear Schrödinger (NLS) equation that takes into account focusing six-wave interactions, dumping and pumping terms. We demonstrate the universal behavior of this system for the region of parameters when six-wave interactions term affects significantly only the largest waves. In particular, in the statistically steady state of this system the probability density function (PDF) of wave amplitudes turns out to be strongly non-Rayleigh one for large waves, with characteristic "fat tail" decaying with amplitude |Ψ| close to ?(-γ|Ψ|), where γ>0 is constant. The corresponding non-Rayleigh addition to the PDF indicates strong intermittency, vanishes in the absence of six-wave interactions, and increases with six-wave coupling coefficient.

Original languageEnglish (US)
Pages (from-to)2586-2590
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number40-41
StatePublished - Oct 23 2015


  • Generalized NLS equation
  • Intermittency
  • Rogue waves
  • Statistics
  • Turbulence

ASJC Scopus subject areas

  • General Physics and Astronomy


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