On the super solitonic structures for the fractional nonlinear Schrödinger equation

In this paper, the fractional nonlinear Schrödinger equation (NLSE) has been studied through conformable fraction space-time derivatives sense. Namely, we introduce some vital solutions for the fractional NLSE by using robust solver approach based on the Jacobian elliptic function method. This solver is easy to use, reliable, practical, and sturdy. The fractional properties structures that obtained from the equation are given in form of hyperbolic, soliton, shocks, explosive, superperiodic and trigonometric structures. It was noticed that raising the fractal factors causes the nonlinear wave to propagate with a different phase and wave frequency. The physical models describe the tidal energy generations play the important roles in the modern green power technologies. The solutions of nonlinear equations produce the parametric description for wave features in these processes. The solutions developed can be used in novel communications, energy applications, fractional quantum modes, and complicated astrophysical phenomena.