We consider a fractional‐order nerve impulse model which is known as FitzHugh–Nagumo
(F–N) model in this paper. Knowing the solutions of this model allows the management of …

The geometric properties of differential systems are used to demonstrate how the sinh-
poisson equation describes a surface with a constant negative curvature in this paper. The …

In this paper, the subequation method and the sine‐cosine method are improved to give a
set of traveling wave solutions for the time‐fractional generalized Fitzhugh–Nagumo …

I show that the compound modified Korteweg‐de Vries‐Sine‐Gordon equations describe
pseudospherical surfaces, that is, these equations are the integrability conditions for the …

We use the geometric notion of a differential system describing surfaces of a constant
negative curvature and describe a family of pseudospherical surfaces for the KdV-Burgers …

In this paper, I use sine-cosine method to obtain a new traveling wave solutions of a
generalized Kawahara equation and I obtain a new exact solution for Hunter-Saxton …

In this paper, we employ the exp (− ϕ (ξ))-expansion method to find the exact traveling wave
solutions involving parameters of nonlinear evolution equations Fitzhugh-Nagumo (FN) …

One of the important topics in applied mathematics is the topic of integral transformations,
due to their importance in electrical engineering applications, including communications in …

In this paper, we shall show that the Hamiltonian structure can be defined for any nonlinear
evolution equations which describe surfaces of a constant negative curvature, so that the …

In this paper, the Exp-function method with the aid of symbolic computational system is used
to obtain the exact travelling wave and solitary solutions of the Fitzhugh-Nagumo (FN) …