Dynamics of new optical solutions of fractional perturbed Schrödinger equation with Kerr law nonlinearity using a mathematical method

The current article finds new soliton closed-form wave structures of the solutions of the fractional perturbed Schrödinger equation with Kerr law nonlinearity. The various kinds of solutions are accomplished by looking at a competent technique, the tanh–coth method. The nonlinear soliton wave prearrangement is analyzed and different types of soliton solutions are in the form of 3D-plots, contour plots, and 2D-plots by looking at the different values of the parameters presented to describe the propagation of traveling wave solutions. The results obtained are new and may be applicable for some physical fields, like optical fibers, plasma fluids, and bimolecular dynamical modes. The discovery of a new optical soliton could have ramifications in other photonics fields, such as nonlinear optics fibers and spectroscopy, fractal medium in the future.