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arXiv · 1712.09689

Rogue Waves, Self-similarity, and Integrable Turbulence

Yashar E. Monfared·Sergey A. Ponomarenko
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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.

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Yashar E. Monfared, Sergey A. Ponomarenko. 2017-12-27. Rogue Waves, Self-similarity, and Integrable Turbulence. https://arxiv.org/abs/1712.09689

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