Optical soliton solutions of time-space nonlinear fractional Schrödinger's equation via two different techniques

This paper contains the optical soliton solutions of the nonlinear Schrödinger equation in the different cases i.e. Kerr law, Power law of nonlinearity, Parabolic law of nonlinearity, dual-power law and log law based on two different techniques named, modified $(G^{\prime }/G^2)$-expansion method and modified simplest equation method. As a result, a consequence of traveling wave solutions are obtained and are verified through MATHEMATICA. These solutions show that the suggested methods are effective, reliable and simple as compared to many other methods.