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math.SPJan 14, 2018
17
citations (OpenAlex)
authors
  • Jonathan Eckhardt
  • Aleksey Kostenko
institutions
  • University of Ljubljana
  • University of Vienna
arXiv abstractPDF
paper

The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa-Holm equation

arXiv:1801.04612 · doi:10.1093/imrn/rny176

Abstract

We solve the inverse spectral problem associated with periodic conservative multi-peakon solutions of the Camassa-Holm equation. The corresponding isospectral sets can be identified with finite dimensional tori.

18 pages, 1 figure

References in corpus (8)

  • The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
  • Long-Time Asymptotics for the Camassa-Holm Equation
  • An isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation
  • On the isospectral problem of the dispersionless Camassa-Holm equation
  • The Classical Moment Problem and Generalized Indefinite Strings
  • A Lagrangian view on complete integrability of the two-component Camassa-Holm system
  • Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy
  • Unique solvability of a coupling problem for entire functions

Cited by in corpus (4)

  • Trace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow
  • A view of the peakon world through the lens of approximation theory
  • A numerical study of variational discretizations of the Camassa-Holm equation
  • Stumpons are non-conservative traveling waves of the Camassa-Holm equation
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