The main purpose of the present paper is to study a (2+1)-dimensional nonlinear Schrödinger equation (2D-NLSE) involving group-velocity dispersions, spatio-temporal dispersions, and the Kerr law nonlinearity. Such a key goal is accomplished by applying a complex transformation and the new Kudryashov method with the help of symbolic computations. As an achievement, several optical solitons to the 2D-NLSE in the presence of linear and nonlinear effects are formally retrieved.
