Abstract:

In this article, we apply a traditional methods to find the soliton solutions for some nonlinear evolution equations in mathematical physics, the tanh- method and the exp-function method With the aid of computer soft ware Mathematica. We apply the tanh-method and exp-function to construct the exact traveling wave solutions of the nonlinear modified kdv fifth-order equation and the kudryashov method with the nonlinear modified seventh-order equation. These equations have wide applications electro-magnetic waves in size quantized films, traffic flow and elastic media.