Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method

S. Abbasbandy, E.J. Parkes

Research output: Contribution to journalArticle

45 Citations (Scopus)
84 Downloads (Pure)

Abstract

The homotopy analysis method is used to find a family of solitary smooth hump solutions of the Camassa-Holm equation. This approximate solution, which is obtained as a series of exponentials, agrees well with the known exact solution. This paper complements the work of Wu & Liao [Wu W, Liao S. Solving solitary waves with discontinuity by means of the homotopy analysis method. Chaos, Solitons & Fractals 2005;26:177-85] who used the homotopy analysis method to find a different family of solitary wave solutions.
Original languageEnglish
Pages (from-to)581-591
Number of pages11
JournalChaos, Solitons and Fractals
Volume36
Issue number3
DOIs
Publication statusPublished - May 2008

Keywords

  • Camassa–Holm equation
  • homotopy analysis method
  • solitonsolution
  • series solution

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