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

E.J. Parkes, S. Abbasbandy

Research output: Contribution to journalArticle

6 Citations (Scopus)

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.
LanguageEnglish
Pages401-408
Number of pages9
JournalNumerical Methods for Partial Differential Equations
Volume25
Issue number2
DOIs
Publication statusPublished - 2009

Fingerprint

Short Pulse
Homotopy Analysis Method
Soliton Solution
Solitons
Nonlinear Waves
Approximation
Solitary Waves
Approximate Solution
Exact Solution
Evidence

Keywords

  • short-pulse equation
  • homotopy analysis method
  • solitary-wave solution
  • series solution

Cite this

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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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Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method. / Parkes, E.J.; Abbasbandy, S.

In: Numerical Methods for Partial Differential Equations, Vol. 25, No. 2, 2009, p. 401-408.

Research output: Contribution to journalArticle

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