Generalization of optical solitons with dual dispersion in the presence of Kerr and quadratic-cubic law nonlinearities

In this work, nonlinear Schrodinger's equation along with group velocity dispersion and spatio-temporal dispersion is considered in (n + 1) dimensions with Kerr and quadraticcubic law nonlinearities which expose the propagation of light pulses in fiber optics. Dark, singular and periodic singular optical solitons in (n + 1) dimensions are retrieved and generalized through versatile modified simple equation method. The constraint conditions that righteously guarantee the perseverance of these soliton solutions are obtained as an outgrowth. The results presented in this paper are new and generalized which are already available in the literature.