Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

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

[img]
Preview
PDF (strathprints015055.pdf)
Download (140Kb) | Preview

    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
    Related URLs:
      Depositing user: Mrs Mary McAuley
      Date Deposited: 26 Jan 2010 15:34
      Last modified: 05 Sep 2014 13:47
      URI: http://strathprints.strath.ac.uk/id/eprint/15055

      Actions (login required)

      View Item

      Fulltext Downloads: