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)

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.
LanguageEnglish
Pages2303-2313
Number of pages11
JournalInternational Journal of Computer Mathematics
Volume87
Issue number10
DOIs
Publication statusPublished - May 2010

Fingerprint

Degasperis-Procesi Equation
Homotopy Analysis Method
Solitary Wave Solution
Solitons
Peakon
Approximation
Approximate Solution
Exact Solution
Family
Evidence

Keywords

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

Cite this

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Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method. / Abbasbandy, S.; Parkes, E.J.

In: International Journal of Computer Mathematics, Vol. 87, No. 10, 05.2010, p. 2303-2313.

Research output: Contribution to journalArticle

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