In this work, we have found exact traveling wave solutions for generalized Fitzhug-
Nagumo equation with arbitrary constant coefficients, by using the homogeneous balance
method, The obtained results shows that these solutions changes with the spec
ials solution
of Ricati ODE with arbitrary constant coefficients , and shows that this method is simple,
direct and very efficient for solving this kind of nonlinear PDEs, It can be applied to
nonlinear PDEs which frequently arise in engineering sciences, mathematical physics and
other scientific real-time applications fields.