New explicit soliton and other solutions for the conformable fractional Biswas-Milovic equation with Kerr and parabolic nonlinearity through an integration scheme

In this paper, we derived new explicit complex hyperbolic and complex trigonometric function solutions, especially dark, bright, combined dark-bright, singular, combined singular soliton and other soliton solutions from the conformable fractional Biswas-Milovic equation with Kerr law and Parabolic law nonlinearity that describes the long-distance optical communications and optical fibres for the solitons propagation. The reported results might play an important role in a nonlinear medium for explaining the physical meaning of the studied model. Therefore, it is also shown that the applied method provides a more powerful mathematical tool for investigating exact solitary wave solutions for many other nonlinear evolution equations in nonlinear medium.