On the Peakon and Soliton Solutions of an Integrable PDE with Cubic Nonlinearities

Rossen Ivanov, Tony Lyons

Research output: Contribution to conferencePaperpeer-review

Abstract

The interest in the singular solutions (peakons) has been inspired by the Camassa-Holm (CH) equation and its peakons. An integrable peakon equation with cubic nonlinearities was first discovered by Qiao. Another integrable equation with cubic nonlinearities was introduced by V. Novikov . We investigate the peakon and soliton solutions of the Qiao equation.
Original languageEnglish
DOIs
Publication statusPublished - 2012
EventBGSIAM'12 - Sofia, Bulgaria
Duration: 19 Dec 201220 Dec 2012

Conference

ConferenceBGSIAM'12
Country/TerritoryBulgaria
CitySofia
Period19/12/1220/12/12
Other7-th Annual Meeting of the Bulgarian Section of SIAM

Keywords

  • singular solutions
  • peakons
  • Camassa-Holm equation
  • integrable peakon equation
  • cubic nonlinearities
  • Qiao equation
  • V. Novikov
  • soliton solutions

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