dorsal/arxiv
View SchemaExact vortex solution of the Jacobs-Rebbi equation for ideal fluids
| Authors | F. Spineanu, M. Vlad |
|---|---|
| Categories | |
| ArXiv ID | physics/0310027 |
| URL | https://arxiv.org/abs/physics/0310027 |
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.
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"abstract": "The Jacobs-Rebbi equation arises in many contexts where vortical motion in\ntwo-dimensional ideal media is investigated. Alternatively, it can be derived\nin the Abelian Higgs field theory. It is considered non-integrable and\nnumerical solutions have been found, consisting of localised, robust vortices.\nWe show in this work that the equation is integrable and provide the Lax pair.\nThe exact solution is obtained in terms of Riemann \\emph{theta} functions.",
"arxiv_id": "physics/0310027",
"authors": [
"F. Spineanu",
"M. Vlad"
],
"categories": [
"physics.flu-dyn",
"physics.ao-ph"
],
"title": "Exact vortex solution of the Jacobs-Rebbi equation for ideal fluids",
"url": "https://arxiv.org/abs/physics/0310027"
},
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