Exact vortex solution of the Jacobs-Rebbi equation for ideal fluids

Details Exact vortex solution of the Jacobs-Rebbi equation for ideal fluids Exact vortex solution of the Jacobs-Rebbi equation for ideal fluids

2003-10-06

arxiv.org/abs/physics/0310027v1

Physics

Fluid Dynamics

Latex 31 pages, includes 6 eps figures

Scientific paper

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.

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