The goal of this work is finding exact solitary wave solutions to generalized Fitzhug-Nagumo equation with constant coefficients, by using the exp-function method, where we have illustrated graphically one of them, the obtained results, with aid of s
ymbolic programs as Maple and Mathematica, show that this method is simple, direct and very efficient for solving this kind of nonlinear PDEs, and it requires no advanced mathematical knowledge, so it is convenient to scientists and engineering.
In this work, we have been obtained exact solutions for generalized Fitzhug-Nagumo equation with constant coefficients, by using the first integral method, and we have shown that this method is an efficient method to obtain exact solutions to this kind of nonlinear partial differential equations.
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.
In this work, we have been found explicit exact soliton wave solutions for Zeldovich
equation with time-dependent coefficients, by using the tanh function method with
nonlinear wave transform, in general case. The results obtained shows that these
exact
solutions are affected the nonlinear nature of the wave variable, it is also shown that this
method is effective and appropriate for solving this kind of nonlinear PDEs, which are
models of many applied problems in physics, chemistry and population evolution.
