Periodic traveling waves of the regularized short pulse and Ostrovsky equations: Existence and stability

Academic Article


  • We construct various periodic traveling wave solutions of the Ostrovsky/Hunter-Saxton/short pulse equation and its KdV regularized version. For the regularized short pulse model with small Coriolis parameter, we describe a family of periodic traveling waves which are a perturbation of appropriate KdV solitary waves. We show that these waves are spectrally stable. For the short pulse model, we construct a family of traveling peakons with corner crests. We show that the peakons are spectrally stable as well.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Hakkaev S; Stanislavova M; Stefanov A
  • Start Page

  • 674
  • End Page

  • 698
  • Volume

  • 49
  • Issue

  • 1