AIP conference proceedings

Integrable case of two vortices in a perfect fluid in a cylindrical domain

S.V. Sokolov, Рамоданов Сергей Михайлович

Published Jan 1, 2022• 0 citations

Abstract

This paper is concerned with a system of two vortex filaments in a Bose-Einstein condensate enclosed in a harmonic trap. Such a problem is a restriction for the more complicated case of a circular cylinder rigid body and two rectilinear vortex filaments. For these conditions we propose that rigid body has a infinitely big mass. Here we present the Hamiltonian form of equations of motion and explicitly show that system is integrable in Liouville sense. Some bifurcation diagram is constructed, and analysis of bifurcations of Liouville tori is carried out for the case of opposite-signed vortices.

DOI: 10.1063/5.0119934

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