Abstract
In this study, He's homotopy perturbation method is implemented for finding for solitary-wave solutions of the combined Korteweg de Vries-Modified Korteweg de Vries (KdV-MKdV) equation. Numerical solutions for the initial conditions has been obtained. The Homotopy Perturbation Method (HPM) deforms a difficult problem into a simple problem which can be easily solved. The results are compared with the exact solitary-wave solutions. The obtained solutions are compared with the Adomian's decomposition method. All the examples show that the results of the present method are in excellent agreement with those obtained by the Adomian's decomposition method.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3587-3592 |
| Number of pages | 6 |
| Journal | Journal of Applied Sciences |
| Volume | 9 |
| Issue number | 19 |
| DOIs | |
| State | Published - 2009 |
| Externally published | Yes |
Keywords
- De Vries equation
- De Vries-Modified Korteweg
- Homotopy perturbation method
- Solitary-wave solution
- The combined Korteweg