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Journal of Applied Sciences
  Year: 2009 | Volume: 9 | Issue: 19 | Page No.: 3587-3592
DOI: 10.3923/jas.2009.3587.3592
 
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Application of Homotopy Perturbation Method to Solve Combined Korteweg de Vries-Modified Korteweg de Vries Equation

H. Mirgolbabaei and D.D. Ganji

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.
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How to cite this article:

H. Mirgolbabaei and D.D. Ganji, 2009. Application of Homotopy Perturbation Method to Solve Combined Korteweg de Vries-Modified Korteweg de Vries Equation. Journal of Applied Sciences, 9: 3587-3592.

DOI: 10.3923/jas.2009.3587.3592

URL: https://scialert.net/abstract/?doi=jas.2009.3587.3592

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