# zbMATH — the first resource for mathematics

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.

##### MSC:
 35K57 Reaction-diffusion equations 35Q51 Soliton equations
Full Text: