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math-phJan 13, 2017
9
citations (OpenAlex)
authors
  • Jonathan Eckhardt
  • Aleksey Kostenko
  • Gerald Teschl
arXiv abstractPDF
paper

The Camassa--Holm Equation and The String Density Problem

arXiv:1701.03598

Abstract

In this paper we review the recent progress in the (indefinite) string density problem and its applications to the Camassa--Holm equation.

All comments welcome!

References in corpus (9)

  • An integrable shallow water equation with peaked solitons
  • The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
  • Long-Time Asymptotics for the Camassa-Holm Equation
  • Variational derivation of the Camassa-Holm shallow water equation
  • Parametric Representation for the Multisoliton Solution of the Camassa-Holm Equation
  • An isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation
  • Poisson structure and Action-Angle variables for the Camassa-Holm equation
  • On the isospectral problem of the dispersionless Camassa-Holm equation
  • Quadratic operator pencils associated with the conservative Camassa-Holm flow

Cited by in corpus (2)

  • Isospectral flows for the inhomogeneous string density problem
  • Wave solutions of Gilson-Pickering equation
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