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math-phApr 1, 2014
5
citations (OpenAlex)
authors
  • Adrian D. Hemery
  • Alexander P. Veselov
arXiv abstractPDF
paper

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

Cited by in corpus (2)

  • Chern-Dold character in complex cobordisms and theta divisors
  • Equilibrium of Charges and Differential Equations Solved by Polynomials II
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