Ultra-short pulses generation’s precise influence on the light transmission in optical fibers

In this study, the numerical simulation of the fractional nonlinear third-order Schrödinger (3-FNLS) problem is processed by applying the novel homotopy perturbation (NHP) method. The 3-FNLS equation illustrates how quantum characteristics and ultra-short optical fiber pulses interact dynamically. Additionally, the wave function of a quantum mechanical system in which atomic particles act like waves is determined by this. When electrons, like light waves, travel through a double slit, they produce diffraction patterns. Consequently, it was reasonable to assume that the wave equation could effectively represent the behavior of atomic particles. The requested conditions for handling the investigated model by the NHP method through the Khater II method. Accurate approximate solutions are constructed and simulated in some distinct graphs.