Abstract
In this paper, the generalized (G'/G)-expansion method is used for construct an innovative explicit traveling wave solutions involving parameter of the generalized FitzHugh-Nagumo equation , for some special parameter where satisfies a second order linear differential equation , , where and are functions of .
Highlights
Phenomena in physics and other fields are often described by nonlinear evolution equations (NLEEs)
When we want to understand the physical mechanism of phenomena in nature, described by nonlinear evolution equations, exact solutions for the nonlinear evolution equations have to be explored
We construct an innovative explicit traveling wave solutions involving parameter of the generalized FitzHugh-Nagumo equation
Summary
Phenomena in physics and other fields are often described by nonlinear evolution equations (NLEEs). When we want to understand the physical mechanism of phenomena in nature, described by nonlinear evolution equations, exact solutions for the nonlinear evolution equations have to be explored. The wave phenomena observed in fluid dynamics [1,2], plasma and elastic media [3,4] and optical fibers [5,6], etc. Jacobi elliptic function expansion method [31,32,33], F-expansion method [34,35,36] and auxiliary equation method [37,38,39,40]. Wang et al [41] introduced a new direct method called the to look for travelling wave solutions of NLEEs. The
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
