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 & 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.
Original language | English |
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Pages (from-to) | 581-591 |
Number of pages | 11 |
Journal | Chaos, Solitons and Fractals |
Volume | 36 |
Issue number | 3 |
DOIs | |
Publication status | Published - May 2008 |
Keywords
- Camassa–Holm equation
- homotopy analysis method
- solitonsolution
- series solution