Analytical wave solutions of an electronically and biologically important model via two efficient schemes

Abstract

In this paper, analytical wave solutions of biologically and electronically important model named as Fitzhugh-Nagumo model (FNM) with truncated M-fractional derivative are found. For our research, expa function and extended sinh-Gordon equation expansion (EShGEE) schemes have been utilized. The solution obtained are dark, bright, dark-bright, periodic and other kinds of solitons. These analytical wave solutions are gained as well as verify with the use of Mathematica software. These solutions are not existing in the literature. Some of the solutions are demonstrate by 2-D, 3- D and contour graphs. This model is mostly used in circuit theory, transmission of nerve impulses and population genetics. Finally, these two schemes are more applicable, reliable and significant to deal with the fractional non-linear partial differential equations.