The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

In the present paper, we describe the fascinating 150-year history of vortex dynamics, which
started from the classical work by H. Helmholtz (1858). This work contains not only the …

In the present work, we explore the existence, stability, and dynamics of single-and multiple-
vortex-ring states that can arise in Bose-Einstein condensates. Earlier works have illustrated …

A recent theoretical study [Borisov, Kilin, and Mamaev,“The dynamics of vortex rings:
Leapfrogging, choreographies and the stability problem,” Regular Chaotic Dyn. 18, 33 …

We consider the problem of motion of axisymmetric vortex rings in an ideal incompressible
fluid. Using the topological approach, we present a method for complete qualitative analysis …

This article addresses the fascinating 150 years history of the classical Helmholtz paper that
laid the foundation of the vortex dynamics. Among general theorems on vortex motion, this …

The dynamics of vortex ring pairs in the homogeneous nonlinear Schrödinger equation is
studied. The generation of numerically exact solutions of traveling vortex rings is described …

Leapfrogging is a periodic solution of the four-vortex problem with two positive and two
negative point vortices all of the same absolute circulation arranged as co-axial vortex pairs …

This paper considers the dynamics of a rigid body interacting with point vortices in a perfect
fluid. The fluid velocity is obtained using the classical complex variables theory and …

We present a (noncanonical) Hamiltonian model for the interaction of a neutrally buoyant,
arbitrarily shaped smooth rigid body with N thin closed vortex filaments of arbitrary shape in …