Abstract
The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump
waves. It is demonstrated that the approximate solutions agree well with the exact solutions. This provides further evidence that the homotopy analysis method is a powerful tool for finding excellent approximations to nonlinear
solitary waves.
Original language | English |
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Pages (from-to) | 2303-2313 |
Number of pages | 11 |
Journal | International Journal of Computer Mathematics |
Volume | 87 |
Issue number | 10 |
DOIs | |
Publication status | Published - May 2010 |
Keywords
- solitary wave solutions
- Degasperis-Procesi equation
- homotopy analysis method
- mathematics
- statistics