Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method

S. Abbasbandy, E.J. Parkes

Research output: Contribution to journalArticle

4 Citations (Scopus)
81 Downloads (Pure)

Abstract

The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves. It is demonstrated that the approximate solutions agree well with the exact solutions. This provides further evidence that the homotopy analysis method is a powerful tool for finding excellent approximations to nonlinear solitary waves.
Original languageEnglish
Pages (from-to)2303-2313
Number of pages11
JournalInternational Journal of Computer Mathematics
Volume87
Issue number10
DOIs
Publication statusPublished - May 2010

Keywords

  • solitary wave solutions
  • Degasperis-Procesi equation
  • homotopy analysis method
  • mathematics
  • statistics

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