NEW OPTICAL SOLITONS FOR NONLINEAR FRACTIONAL SCHRÖDINGER EQUATION VIA DIFFERENT ANALYTICAL APPROACHES

Abstract

The primary aim of this work is to investigate the nonlinear fractional Schrödinger equation, which is adopted to describe the ultra-short pulses in optical fibers. A variety of new soliton solutions and periodic solutions are constructed by implementing three efficient mathematical approaches, namely, the improved fractional $F$-expansion method, fractional Bernoulli ($G^{\prime }$/$G)$-expansion method and fractional cosine-sine method. Moreover, the dynamic properties of these obtained solutions are discussed by plotting some 3D and 2D figures. The employed three analytical methods can be widely adopted to solve different types of fractional evolution equations.