Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 10 (2014), 114, 18 pages      arXiv:1404.7234      https://doi.org/10.3842/SIGMA.2014.114

Periodic Vortex Streets and Complex Monodromy

Adrian D. Hemery a and Alexander P. Veselov b, c
a) Charterhouse School, Godalming, Surrey, GU7 2DX, UK
b) Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK
c) Moscow State University, Russia

Received August 28, 2014, in final form December 10, 2014; Published online December 23, 2014

Abstract
The explicit constructions of periodic and doubly periodic vortex relative equilibria using the theory of monodromy-free Schrödinger operators are described. Several concrete examples with the qualitative analysis of the corresponding travelling vortex streets are given.

Key words: vortex; equilibria; monodromy; integrability.

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