Solitary wave solutions of the nonlinear fractional soliton neuron model via application of five mathematical methods

Fractional nonlinear soliton neuron model (FNLSNM) is a mathematical clarifications engaged to describe a wide range of complex phenomena occurring in neuroscience and obscure mode of action of numerous anesthetics. FNLSNM model describes how action potential is started and performed along axons contingent on a thermodynamic theory of nerve pulse propagation. The signals that pass through the cell membrane were proposed to be in diverse forms of solitary sound pulses which can be modeled as solitons. In this paper, several novel solitary wave solutions of FNLSNM are constructed via applications of five mathematical methods with the assistance of Mathematica 13.0 software. Several novel soliton solutions of concerned model are established in the form of hyperbolic, trigonometric, exponential and rational functions. For the review of physical behavior, some derived solutions plotted the graphical 2-dimensional and 3-dimensional. Our derived solitons have fruitful applications in different fields of neuroscience.