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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

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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.

Item type: Article
ID code: 13739
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: 21 May 2015 11:24
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/13739

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