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Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. (English) Zbl 1170.76317
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 $\hslash$, which provides us with a simple way to adjust and control the convergence region of series solution.
##### MSC:
 76B25 Solitary waves (inviscid fluids) 76M45 Asymptotic methods, singular perturbations (fluid mechanics)
##### References:
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