Analytical solitons with the Biswas-Milovic equation in the presence of spatio-temporal dispersion in non-Kerr law media

In this paper, we concentrate on the optical soliton solutions of spatially temporal Biswas-Milovic equation with power law and dual-power law nonlinearities. This model accounts for several imperfections for the transmission of solitons through optical fibers. The first integral method is employed in order to construct singular and dark 1-soliton solutions from the governing Biswas-Milovic equation with spatio-temporal dispersion. Some parametric restrictions are also enumerated which guarantee the existence of these soliton solutions. Moreover, the obtained results are demonstrated by 3D and 2D plots.