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Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method

Parkes, E.J. and Abbasbandy, S. (2009) Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method. Numerical Methods for Partial Differential Equations, 25 (2). pp. 401-408. ISSN 0749-159X

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Abstract

The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution. 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: 15055
Keywords: short-pulse equation, homotopy analysis method, solitary-wavesolution, series solution, Mathematics, Computational Mathematics, Analysis, Applied Mathematics, Numerical Analysis
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Mrs Mary McAuley
Date Deposited: 26 Jan 2010 15:34
Last modified: 21 May 2015 10:59
URI: http://strathprints.strath.ac.uk/id/eprint/15055

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