32 citations · 102 across the 18 of their papers we have counts for
19 papers
Nonlinear tunnel oscillations of light in spherical Bragg resonators
Victor P. Ruban
A weakly nonlinear regime of radial tunneling is theoretically considered for a light wave in a spherical dielectric Bragg resonator containing a set of ``shell'' eigenmodes (both…
Numerical simulation of light structures in bulk ENZ media with Kerr nonlinearity
Victor P. Ruban
A simplified mathematical model is suggested to describe the dynamics of a quasi-monochromatic optical wave in the bulk of an effectively isotropic metamaterial with averaged diele…
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…
Narrow light beams with linear polarization in a Kerr medium
Victor P. Ruban
Within the curl-curl type vector equation describing a monochromatic light wave in a focusing Kerr medium, the transverse structure of extremely narrow, linearly polarized self-foc…
"Exact" solutions for circularly polarized Kerr solitons
Victor P. Ruban, Roman V. Ruban
For the nonlinear vector curl-curl equation describing a monochromatic light wave in a Kerr medium, an exact reduction is suggested which results in a system of four ordinary diffe…
Small-scale light structures in a Kerr medium
Victor P. Ruban
A system of equations has been proposed for a monochromatic weakly nonlinear light wave in a Kerr medium. This system is equivalent up to the third order in electric field to the k…
Stabilization of Optical Bubbles Near the Axis of a Helical Waveguide
Victor P. Ruban
It has been shown numerically that coupled nonlinear Schrödinger equations describing the interaction between the left and right circular polarizations of a paraxial optical wave i…
Collisions of Light Bullets with Different Circular Polarizations
Victor P. Ruban
Collisions of left- and right-polarized spatiotemporal optical solitons have been numerically simulated for a locally isotropic focusing Kerr medium with anomalous chromatic disper…
Systems of vortices in a binary core-shell Bose-Einstein condensate
Victor P. Ruban
A trapped Bose--Einstein-condensed mixture of two types of cold atoms with significantly different masses has been simulated numerically within the coupled Gross--Pitaevskii equati…
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…
The dynamics of straight vortex filaments in a Bose-Einstein condensate with a Gaussian density profile
V. P. Ruban
The dynamics of interacting quantized vortex filaments in a rotating trapped Bose-Einstein condensate, which is in the Thomas-Fermi regime at zero temperature and described by the…
Hamilton's equations of motion of a vortex filament in the rotating Bose-Einstein condensate and their "soliton" solutions
V. P. Ruban
The equation of motion of a quantized vortex filament in a trapped Bose-Einstein condensate [A. A. Svidzinsky and A. L. Fetter, Phys. Rev. A {\bf 62}, 063617 (2000)] has been gener…
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…
Subcritical mirror structures in an anisotropic plasma
E. A. Kuznetsov, T. Passot, V. P. Ruban +1
Based on Grad-Shafranov-like equations, a gyrotropic plasma where the pressures in the static regime are only functions of the amplitude of the local magnetic field is shown to be…
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…
Nonlinear interfacial waves in a constant-vorticity planar flow over variable depth
V. P. Ruban
Exact Lagrangian in compact form is derived for planar internal waves in a two-fluid system with a relatively small density jump (the Boussinesq limit taking place in real oceanic…
Internal waves in a compressible two-layer atmospheric model: The Hamiltonian description
V. P. Ruban
Slow flows of an ideal compressible fluid (gas) in the gravity field in the presence of two isentropic layers are considered, with a small difference of specific entropy between th…