Table 1.

Nomenclature/Abbreviations.

Nomenclature/Abbreviations	Explanation
NLSE	Nonlinear Schrödinger Equation
FDs	Fractional Derivatives
BD	Beta–Derivative
AODEM	Auxiliary Ordinary Differential Equation Method
ESEM	Extended Simplest Equation Method
ODE	Ordinary Differential Equation
PDS	Planar Dynamical System
BDE	Beta–Derivative Evolution
OPWSs	Oblique Plane Wave Solutions