Exact vortex solution of the Jacobs-Rebbi equation for ideal fluids
Fluid Dynamics
2007-05-23 v1 Atmospheric and Oceanic Physics
Abstract
The Jacobs-Rebbi equation arises in many contexts where vortical motion in two-dimensional ideal media is investigated. Alternatively, it can be derived in the Abelian Higgs field theory. It is considered non-integrable and numerical solutions have been found, consisting of localised, robust vortices. We show in this work that the equation is integrable and provide the Lax pair. The exact solution is obtained in terms of Riemann \emph{theta} functions.
Keywords
Cite
@article{arxiv.physics/0310027,
title = {Exact vortex solution of the Jacobs-Rebbi equation for ideal fluids},
author = {F. Spineanu and M. Vlad},
journal= {arXiv preprint arXiv:physics/0310027},
year = {2007}
}
Comments
Latex 31 pages, includes 6 eps figures