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

Abbasbandy, S. and Parkes, E.J. (2008) Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method. Chaos, Solitons and Fractals, 36 (3). pp. 581-591. ISSN 0960-0779 (https://doi.org/10.1016/j.chaos.2007.10.034)

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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.

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• Item metadata

  Item type:	Article
  ID code:	13740
  Dates:	Date Event May 2008 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Mrs Mary McAuley
  Date deposited:	22 Dec 2009 12:00
  Last modified:	18 Apr 2024 00:12
  URI:	https://strathprints.strath.ac.uk/id/eprint/13740