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Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method

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  • Mohammed Ali
  • Marwan Alquran
  • Mahmoud Mohammad

Abstract

We study two‐component evolutionary systems of a homogeneous KdV equations of second and third order. The homotopy analysis method (HAM) is used for analytical treatment of these systems. The auxiliary parameter h of HAM is freely chosen from the stability region of the h‐curve obtained for each proposed system.

Suggested Citation

  • Mohammed Ali & Marwan Alquran & Mahmoud Mohammad, 2012. "Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:569098
    DOI: 10.1155/2012/569098
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    References listed on IDEAS

    as
    1. A. M. A. El-Sayed & A. Elsaid & D. Hammad, 2012. "A Reliable Treatment of Homotopy Perturbation Method for Solving the Nonlinear Klein-Gordon Equation of Arbitrary (Fractional) Orders," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, February.
    2. A. M. A. El-Sayed & A. Elsaid & D. Hammad, 2012. "A Reliable Treatment of Homotopy Perturbation Method for Solving the Nonlinear Klein‐Gordon Equation of Arbitrary (Fractional) Orders," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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