The main aim of this article is to present some new exact solutions of the resonant nonlinear Schrödinger equation. These solutions are derived by using the Generated Exponential Rational Function Method (GERFM). The kink-type, bright, dark, and singular soliton solutions are reported and several numerical simulations are also included. The calculations are carried out by Maple software. All of the solutions, which are derived in this paper, are believed to be new and have presumably not been reported in earlier publications.