Abstract
Presented are the results of experiments on calculation of Probability Distribution Functions for elevations of waters waves in numerical tank. Statistics of waves of anomalous amplitude, or freak-waves were compared both for nonlinear and linear models. Obviously, linear model demonstrates the exact Rayleigh distribution of surface elevations while PDFs for nonlinear equation have tails (for large elevations) similar to Rayleigh distribution, but with larger σ.
Original language | English (US) |
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Pages (from-to) | 888-892 |
Number of pages | 5 |
Journal | Lobachevskii Journal of Mathematics |
Volume | 38 |
Issue number | 5 |
DOIs | |
State | Published - Sep 1 2017 |
Keywords
- Hamiltonian formalism
- Nonlinear water waves
- Zakharov equation
- freak waves
- modulational instability
ASJC Scopus subject areas
- Mathematics(all)