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Soliton solutions for the fifth-order KdV equation with the homotopy analysis method

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Abstract

An analytic technique, the homotopy analysis method (HAM), is applied to obtain the soliton solution of the fifth-order KdV equation. The homotopy analysis method (HAM) provides us with a new way to obtain series solutions of such problems. HAM contains the auxiliary parameter ℏ, which provides us with a simple way to adjust and control the convergence region of series solution.

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Authors and Affiliations

  1. Department of Mathematics, Imam Khomeini International University, Ghazvin, 34194, Iran

    S. Abbasbandy

  2. College of Etesam, Tehran, 17747, Iran

    F. Samadian Zakaria

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  1. S. Abbasbandy
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  2. F. Samadian Zakaria
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Correspondence to S. Abbasbandy.

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Abbasbandy, S., Zakaria, F.S. Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. Nonlinear Dyn 51, 83–87 (2008). https://doi.org/10.1007/s11071-006-9193-y

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  • DOI: https://doi.org/10.1007/s11071-006-9193-y

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