The New Travelling Wave Solutions of Time Fractional Fitzhugh-Nagumo Equation with Sine-Gordon Expansion Method

Authors : Orkun TAŞBOZAN, Ali KURT

Pages : 256-263

Doi:10.37094/adyujsci.515011

View : 26 | Download : 13

Publication Date : 2020-06-25

Article Type : Research Paper

Abstract :     Authors aimed to employ the sine-Gordon expansion method to acquire the new exact solutions of fractional Fitzhugh-Nagumo equation which is a stripped type of the Hodgkin-Huxley model that expresses in extensive way activation and deactivation dynamics of neuron spiking. By using the wave transformations, by the practicality of chain rule and applicability of the conformable fractional derivative, the fractional nonlinear partial differential equation (FNPDE) changes to a nonlinear ordinary differential equation. So the exact solution of the considered equation can be obtained correctly with the aid of efficient and reliable analytical techniques.
Keywords : Sine Gordon expansion method, Fitzhugh Nagumo Equation, Corfomable derivative