32 citations · 102 across the 18 of their papers we have counts for
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Nonlinear dynamics of water waves over nonuniformly periodic bottom
Victor P. Ruban
By numerical simulation of exact equations of motion (in terms of conformal variables) for planar non-stationary potential flows of an ideal fluid with a free surface over a strong…
Waves over Curved Bottom: The Method of Composite Conformal Mapping
Victor P. Ruban
A compact and efficient numerical method is described for studying plane flows of an ideal fluid with a smooth free boundary over a curved and nonuniformly moving bottom. Exact equ…
On the nonlinear Schrödinger equation for waves on a nonuniform current
V. P. Ruban
A nonlinear Schrödinger equation with variable coefficients for surface waves on a large-scale steady nonuniform current has been derived without the assumption of a relative small…
Gaussian variational ansatz in the problem of anomalous sea waves: Comparison with direct numerical simulations
V. P. Ruban
The nonlinear dynamics of an obliquely oriented wave packet at sea surface is studied both analytically and numerically for various initial parameters of the packet, in connection…
Enhanced rise of rogue waves in slant wave groups
V. P. Ruban
Numerical simulations of fully nonlinear equations of motion for long-crested waves at deep water demonstrate that in elongate wave groups the formation of extreme waves occurs mos…
The Fermi-Pasta-Ulam recurrence and related phenomena for 1D shallow-water waves in a finite basin
V. P. Ruban
In this work, different regimes of the Fermi-Pasta-Ulam (FPU) recurrence are simulated numerically for fully nonlinear "one-dimensional" potential water waves in a finite-depth flu…