Journal
PHYSICAL REVIEW LETTERS
Volume 99, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.99.044502
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A specific, genuinely three-dimensional mechanism of rogue wave formation, in a late stage of the modulational instability of a perturbed Stokes deep-water wave, is recognized through numerical experiments. The simulations are based on fully nonlinear equations describing weakly three-dimensional potential flows of an ideal fluid with a free surface in terms of conformal variables. Spontaneous formation of zigzag patterns for wave amplitude is observed in a nonlinear stage of the instability. If initial wave steepness is sufficiently high (ka > 0.06), these coherent structures produce rogue waves. The most tall waves appear in turns of the zigzags. For ka < 0.06, the structures decay typically without formation of steep waves.
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