New soliton configurations for two different models related to the nonlinear Schrödinger equation through a graded-index waveguide

The present paper studies two various models with different types: the nonlinear Schrödinger equation power-law nonlinearity and (3 + 1)-dimensional equation. We perform modified (G?G)-expansion method to find some exact solutions construct types of solitary wave phenomena for each received aspects contribute firm mathematical foundation might be essential soliton waves. As a result, we obtain all from Wazwaz [Math. Comput. Modell. 43, 178–184 (2016)] also new solutions.