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

Abbasbandy, S. and Parkes, E.J. (2010) Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method. International Journal of Computer Mathematics, 87 (10). pp. 2303-2313. ISSN 0020-7160 (https://doi.org/10.1080/00207160802626492)

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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.

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  Item type:	Article
  ID code:	13739
  Dates:	Date Event May 2010 Published
  Keywords:	solitary wave solutions, Degasperis-Procesi equation, homotopy analysis method, mathematics, statistics, Mathematics, Computational Theory and Mathematics, Applied Mathematics, Computer Science Applications
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Mrs Mary McAuley
  Date deposited:	19 Jan 2010 12:00
  Last modified:	11 Nov 2021 01:54
  Related URLs:	Scopus publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/13739