Optical soliton perturbation with fractional temporal evolution having cubic and power law nonlinearities

Abstract

With an increasing demand for larger bandwidth and solving the problem of internet bottleneck, the formation of solitons with fractional temporal evolution has prompted substantial attention in the field of optics. In this paper, we have used three methods namely, the new mapping method, the unified Riccati equation method, and the new modified sub-ODE method to construct the new soliton solutions to the perturbed nonlinear Schrödinger equation (NLSE) with fractional temporal evolution. Two types of nonlinearities are considered namely, the Kerr law and the power law for all the three utilized methods. Existence criteria for all soliton solutions are presented. We provide two- and three-dimensional graphical illustrations of some acquired solutions. This work also proves the reliability, power, and effectiveness of these new analytical techniques for solving other nonlinear fractional differential equations.