New soliton solutions of fractional Biswas-Milovic equation with Kerr, parabolic and cubic-quartic nonlinearities

Abstract

This paper presents new explicit solutions of hyperbolic and trigonometric functions, obtained from the conformable fractional Biswas-Milovic equation, characterizing the long distance optical communications with three types nonlinearities: Kerr law, parabolic law and cubic-quartic ones. The Sardar sub-equation method is used, which gives the results that are of significant potential in a nonlinear system, providing a clear physical interpretation of the model under study. The resulting solutions are novel for the fractional Biswas-Milovic equation with the help of the method used, a powerful instrument for exploring precise solitary wave solutions for various other nonlinear equations in a nonlinear medium.