Periodic Vortex Streets and Complex Monodromy
arXiv:1404.7234 · doi:10.3842/SIGMA.2014.114
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.
References in corpus (9)
- Huygens' Principle in Minkowski Spaces and Soliton Solutions of the Korteweg-de Vries Equation
- The Heun equation and the Calogero-Moser-Sutherland system I: the Bethe Ansatz method
- Vortex dynamics on a cylinder
- On Stieltjes relations, Painlevé-IV hierarchy and complex monodromy
- On Darboux-Treibich-Verdier potentials
- Whittaker-Hill equation and semifinite-gap Schroedinger operators
- Multidimensional Baker-Akhiezer functions and Huygens' Principle
- Zeroes of Wronskians of Hermite polynomials and Young diagrams
- Finite-gap solutions of the Fuchsian equation