English

Rogue Waves, Self-similarity, and Integrable Turbulence

Optics 2017-12-29 v1

Abstract

We explore extreme event occurrence in the integrable turbulence with self-similar asymptotics. We posit that rogue waves in such systems manifest themselves as giant fluctuations away from average self-similar dynamics of the system. We support our proposition with numerical simulations of rogue wave excitation in the self-similar regime of stimulated Raman scattering. We show that our results hold irrespective of a specific source correlation model, suggesting the universality of the proposed scenario.

Keywords

Cite

@article{arxiv.1712.09689,
  title  = {Rogue Waves, Self-similarity, and Integrable Turbulence},
  author = {Yashar E. Monfared and Sergey A. Ponomarenko},
  journal= {arXiv preprint arXiv:1712.09689},
  year   = {2017}
}
R2 v1 2026-06-22T23:30:28.201Z