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Comparison between the homotopy analysis method and homotopy perturbation method to solve coupled Schrodinger-KdV equation

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Abstract

In this paper, we apply the homotopy analysis method (HAM) and the homotopy perturbation method (HPM) to obtain approximate analytical solutions of the coupled Schrodinger-KdV equation. The results show that HAM is a very efficient method and that HPM is a special case of HAM.

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Authors and Affiliations

  1. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600, UKM, Bangi, Malaysia

    A. K. Alomari, M. S. M. Noorani & R. Nazar

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  1. A. K. Alomari
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  2. M. S. M. Noorani
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  3. R. Nazar
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Correspondence to A. K. Alomari.

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Alomari, A.K., Noorani, M.S.M. & Nazar, R. Comparison between the homotopy analysis method and homotopy perturbation method to solve coupled Schrodinger-KdV equation. J. Appl. Math. Comput. 31, 1–12 (2009). https://doi.org/10.1007/s12190-008-0187-4

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  • DOI: https://doi.org/10.1007/s12190-008-0187-4

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