The exact methods for solving partial differential equations are always preferred because they present the solution is exact, and do not have any limitations to use. Nevertheless, sometimes we must resort to the analytical approximate and numerical methods due to limitations of exact solvers. This article aims to examine the β-derivative of Schr¨odinger equation in exact approach point of view. To this end, we obtain some novel optical solutions of the equation via the so-called generalized exponential rational function method. To the best of our knowledge the technique has never been tested for the considered equation in the literature. These solutions might be useful in mathematical physics, applied mathematics and engineering fields. The employed technique in this paper may have a great significance applications while handling the other nonlinear partial differential equations.
