Traveling wave solutions of the Degasperis-Procesi equation

Jonatan Lenells

Research output: Contribution to journalArticlepeer-review

Abstract

We classify all weak traveling wave solutions of the Degasperis-Procesi equation. In addition to smooth and peaked solutions, the equation is shown to admit more exotic traveling waves such as cuspons, stumpons, and composite waves.
Original languageEnglish
Pages (from-to)72-82
JournalJournal of Mathematical Analysis and Applications
Volume306
Issue number1
DOIs
Publication statusPublished - 2005

Subject classification (UKÄ)

  • Mathematics

Free keywords

  • traveling waves
  • Degasperis-Procesi equation

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