, Volume 51, Issue 1-2, pp 83-87

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.