Sayyed Masood Zekavatmand - Department of Applied Mathematics, Iran University of Science and Technology, Tehran, Iran.
Hadi Rezazadeh - Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran.
Mohammad Bagher Ghaemi - Department of Applied Mathematics, Iran University of Science and Technology, Tehran, Iran.

By using modified Kather’s method, we study the Cahn Allen equation which arises in many scientific applications such as mathematical biology, quantum mechanics and plasma physics. As a result, the existence of Exact travelling wave solutions of the Cahn Allen equation is obtained. We obtained new results using this technique. At the end of this manuscript, we submitted a conclusion in a comprehensive manner.

Extended modified Kather’s method; the Cahn Allen equation; soliton solution; exponential function solution; rational function solution; Exact travelling wave solutions