Optical solitons to the (n + 1)-dimensional nonlinear Schrödinger’s equation with Kerr law and power law nonlinearities using two integration schemes

Abstract

In this study, two integration techniques are employed to reach optical solitons to the [Formula: see text]-dimensional nonlinear Schrödinger’s equation [Formula: see text]-NLSE[Formula: see text] with Kerr and power laws nonlinearities. These are the undetermined coefficient and Bernoulli sub-ODE methods. We acquired bright, dark, and periodic singular soliton solutions. The necessary conditions for the existence of these solitons are presented.