Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method. (English) Zbl 1167.35395

Summary: An analytic technique, the homotopy analysis method (HAM), is applied to obtain the soliton solution of the Fitzhugh-Nagumo equation. The homotopy analysis method (HAM) is one of the most effective method to obtain the exact solution and 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.


35K57 Reaction-diffusion equations
35Q51 Soliton equations
Full Text: DOI


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