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 (https://doi.org/10.1002/num.20348)

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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.

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• Item metadata

  Item type:	Article
  ID code:	15055
  Dates:	Date Event 2009 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Mrs Mary McAuley
  Date deposited:	26 Jan 2010 15:34
  Last modified:	11 Nov 2024 09:07
  URI:	https://strathprints.strath.ac.uk/id/eprint/15055