Heteroclinic orbits and travelling wave from solutions of complicated profile in Fitz-Hugh–Nagumo model

The rezults of studying the travelling wave front solutions in Fitz-Hugh–Nagumo model are diven. The existence of such solutions is proved. The seach for the conditions of the existence of the solutions is suppoted by qualitative reseach of the appropriate selfsimulating system. The dependences of profile and speed of the front solutions upon the parameters of the model are diven.