Solitary smooth hump solutions of the Camassa–Holm equation by means of the homotopy analysis method

S. Abbasbandy and E.J. Parkes

Chaos, Solitons & Fractals, 2008, vol. 36, issue 3, 581-591

Abstract: The homotopy analysis method is used to find a family of solitary smooth hump solutions of the Camassa–Holm equation. This approximate solution, which is obtained as a series of exponentials, agrees well with the known exact solution. This paper complements the work of Wu and Liao [Wu W, Liao S. Solving solitary waves with discontinuity by means of the homotopy analysis method. Chaos, Solitons & Fractals 2005;26:177–85] who used the homotopy analysis method to find a different family of solitary-wave solutions.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:3:p:581-591

DOI: 10.1016/j.chaos.2007.10.034

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