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19992008
most citedNonlinear stage of the Benjamin-Feir instability: Three-dimensional coherent structures and rogue waves

40 citations · 68 across the 4 of their papers we have counts for

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9 papers · 1 filter

physics.flu-dyn2008

Water-wave gap solitons: An approximate theory and accurate numerical experiments

V. P. Ruban

It is demonstrated that a standard coupled-mode theory can successfully describe weakly-nonlinear gravity water waves in Bragg resonance with a periodic one-dimensional topography.…

physics.flu-dyn200740 cited

Nonlinear stage of the Benjamin-Feir instability: Three-dimensional coherent structures and rogue waves

V. P. Ruban

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 thro…

physics.flu-dyn200628 cited

"Breathing" rogue wave observed in numerical experiment

Victor P. Ruban

Numerical simulations of the recently derived fully nonlinear equations of motion for weakly three-dimensional water waves [V.P. Ruban, Phys. Rev. E {\bf 71}, 055303(R) (2005)] wit…

physics.flu-dyn2005

Numerical modeling of quasiplanar giant water waves

Victor P. Ruban, Juergen Dreher

In this work we present a further analytical development and a numerical implementation of the recently suggested theoretical model for highly nonlinear potential long-crested wate…

physics.flu-dyn2005

Quasi-planar steep water waves

Victor P. Ruban

A new description for highly nonlinear potential water waves is suggested, where weak 3D effects are included as small corrections to exact 2D equations written in conformal variab…

physics.flu-dyn2004

Water waves over a time-dependent bottom: Exact description for 2D potential flows

V. P. Ruban

Two-dimensional potential flows of an ideal fluid with a free surface are considered in situations when shape of the bottom depends on time due to external reasons. Exact nonlinear…