15 citations · 25 across the 6 of their papers we have counts for
6 papers
Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links
Victor P. Ruban
Quantized vortices in a complex wave field described by a defocusing nonlinear Schrödinger equation with a space-varying dispersion coefficient are studied theoretically and compar…
Quasi-stable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates
Christopher Ticknor, Victor P. Ruban, P. G. Kevrekidis
Long-time existence of topologically nontrivial configurations of quantum vortices in the form of torus knots and links in trapped Bose-Einstein condensates is demonstrated numeric…
Some exact solutions of the local induction equation for motion of a vortex in a Bose-Einstein condensate with Gaussian density profile
V. P. Ruban
The dynamics of a vortex filament in a trapped Bose-Einstein condensate is considered when the equilibrium density of the condensate, in rotating with angular velocity coo…
Steady mirror structures in a plasma with pressure anisotropy
E. A. Kuznetsov, T. Passot, V. P. Ruban +1
In the first part we present a review of our results concerning the weakly nonlinear regime of the mirror instability in the framework of an asymptotic model. This model belongs to…
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…
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…