Novel solutions structure for fractional Schrödinger equations (FSE) via a new scheme

In this paper, we employ a recently developed novel scheme, namely, the extended mapping approach, for constructing new periodic soliton solutions, including rational, hyperbolic and trigonometric function solutions for nonlinear systems of fractional Schrödinger equations (FSE) involving conformable (CF) fractional derivatives. We examine the influence of specific factors on the solutions of these governing equations and use 3D and 2D graphs to illustrate the dynamic wave patterns, a method that has not been probed in previous studies. The results of this study may assist researchers in gaining a deeper understanding of the dynamic behaviors in plasma physics, optical fibers, quantum electronics and nonlinear sciences. This work emphasizes the dynamic nature of the FSE by presenting various sets of soliton solutions and their intricate interconnections. These findings are crucial not only for comprehending the dynamics of FSE but also for their applications in nonlinear fractional partial differential equations.