A comparative study of nonlinear fractional Schrödinger equation in optics

Abstract

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.