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Exact travelling wave solutions of Fitzhugh-Nagumo equation. (English) Zbl 1216.35123

Summary: We use a modifed extended tanh-function method (METF) and modified tanh-coth method to solve the Fitzhugh-Nagumo equation. The main idea is to take full advantage of the Riccati equation that the tanh-function satisfies. So multiple travelling wave solutions of the Fitzhugh-Nagumo equation is presented and implemented in a computer algebraic system. So the efficiency of the methods can be demonstrated.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35C07 Traveling wave solutions
35A24 Methods of ordinary differential equations applied to PDEs
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