Rogue Waves With Rational Profiles in Unstable Condensate and Its Solitonic Model

D. S. Agafontsev, A. A. Gelash

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this brief report we study numerically the spontaneous emergence of rogue waves in 1) modulationally unstable plane wave at its long-time statistically stationary state and 2) bound-state multi-soliton solutions representing the solitonic model of this state. Focusing our analysis on the cohort of the largest rogue waves, we find their practically identical dynamical and statistical properties for both systems, that strongly suggests that the main mechanism of rogue wave formation for the modulational instability case is multi-soliton interaction. Additionally, we demonstrate that most of the largest rogue waves are very well approximated–simultaneously in space and in time–by the amplitude-scaled rational breather solution of the second order.

Original languageEnglish
Article number610896
JournalFrontiers in Physics
Volume9
DOIs
Publication statusPublished - 9 Apr 2021

Keywords

  • breathers
  • integrable systems
  • modulational instability
  • rogue waves
  • solitons

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