Turbulence, the complicated fluid behavior of nonlinear and statistical nature, arises in many
physical systems across various disciplines, from tiny laboratory scales to geophysical and …

We consider a disk-shaped cold atom Bose-Einstein condensate with repulsive atom-atom
interactions within a circular trap, described by a two-dimensional time-dependent Gross …

In this work we employ a recently proposed bifurcation analysis technique, the deflated
continuation algorithm, to compute steady-state solitary waveforms in a one-component, two …

Quantum vortices naturally emerge in rotating Bose–Einstein condensates (BECs) and,
similarly to their classical counterparts, allow the study of a range of interesting out-of …

In this article, we consider a four-dimensional singular differential system that can describe
the dynamics of configurations bearing a small number of vortices in atomic Bose-Einstein …

We numerically investigate an experimentally viable method for generating and
manipulating on-demand several vortices in a highly oblate atomic Bose-Einstein …

Completely Liouville integrable Hamiltonian system with two degrees of freedom, describing
the dynamics of two vortex filaments in a Bose-Einstein condensate enclosed in a cylindrical …

This article is devoted to the results of phase topology research on a generalized
mathematical model, which covers such two problems as the dynamics of two point vortices …

Motivated by the recent successes of particle models in capturing the precession and
interactions of vortex structures in quasi-two-dimensional Bose–Einstein condensates, we …

Motivated by recent experimental works, we investigate a system of vortex dynamics in an
atomic Bose-Einstein condensate (BEC), consisting of three vortices, two of which have the …