Deformation of an elliptic vortex ring by three-dimensional discrete vortex filament method

Numerical Simulation of Vortex Breakdown by the Vortex-Filament Method

Evolution of a Curved Vortex Filament into a Vortex Ring

Three-dimensional hybrid vortex solitons

We show, by means of numerical and analytical methods, that media with a repulsive nonlinearity which grows from the center to the periphery support a remarkable variety of previously unknown complex stationary and dynamical three-dimensional (3D) solitary-wave states. Peanut-shaped modulation profiles give rise to vertically symmetric and antisymmetric vortex states, and novel stationary hybri...

Vortex line ordering in the driven three-dimensional vortex glass.

Resistively shunted junction dynamics is applied to the three-dimensional uniformly frustrated XY model with randomly perturbed couplings, as a model for driven steady states in a type-II superconductor with quenched point pinning. For a disorder strength p strong enough to produce a vortex glass in equilibrium, we map the phase diagram as a function of temperature T and uniform driving current...

Vortex ring

By rigorous mathematical method, we construct traveling wave solutions with a stationary or traveling vortex ring to the Gross-Pitaevskii equation iût = ε 2 4 û + ( Ṽ − |û| ) û, û ∈ H(R), where the unknown function û is defined as û : R × R → C, ε is a small positive parameter and Ṽ is a smooth potential.