Exact solutions for Fitzhugh–Nagumo model of nerve excitation via Kudryashov method

This paper presents a number of new solutions obtained for solving the Fitzhugh–Nagumo model via the Kudryashov method. The merit of the presented method is finding the further solutions of the considering problems including soliton, periodic, kink, kink-singular wave solutions. Comparing our new results with other results show that our results give the further solutions. The proposed method also allow us to establish many new types of exact solutions. By utilizing the Maple software package, we show that all obtained solutions satisfy the conditions of the studied model. More importantly, the solutions found in this work can have significant applications in engineering and physics sciences.