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Zbl 1170.76317
Abbasbandy, S.; Zakaria, F.Samadian
Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. (English)
[J] Nonlinear Dyn. 51, No. 1-2, 83-87 (2008). ISSN 0924-090X; ISSN 1573-269X/e

Summary: 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 $\hbar$, which provides us with a simple way to adjust and control the convergence region of series solution.

MSC 2000:: *76B25 Solitary waves, etc. (inviscid fluids)
76M45 Asymptotic methods, singular perturbations

Keywords: KdV equation; homotopy analysis method; fifth-order KdV; soliton solution

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