A comparative study of nonlinear fractional Schrödinger equation in optics

The optical soliton solutions to the fractional nonlinear Schrödinger (NLS) equation in the presence of nonlinear oscillating coefficient with Beta and M-truncated derivatives are studied by applying a complex wave transformation that converts the fractional NLS equation to an ordinary differential equation. The optical solution structures are attained with the use of the Sardar sub-equation (SSE) method. The NLS equation is an important nonlinear complex model which governs the propagation of an optical pulse in a birefringent optical fiber. The fractional NLS equation is used in optical telecommunication, high-energy physics, gas dynamics, electrodynamics and ocean engineering. The graphical presentation of the attained results is also discussed in detail.