Two improved techniques for the perturbed nonlinear Biswas-Milovic equation and its optical solitons

In this article, abundant optical soliton solutions of the Biswas-Milovic equation with Kudryashov's law and nonlinear perturbation terms in polarization preserving fibers is constructed by employing two improved analytical schemes, namely, the improved Sardar sub equation method (IMSSEM) and the improved generalized Riccati equation mapping method (IGREMM). As a result of these improved approaches, many constraint conditions emerge that are required for the existence of soliton solutions. These solutions are the rational, exponential, trigonometric hyperbolic, and trigonometric which can be classified into the bright soliton, W-shaped soliton, dark soliton, singular soliton, periodic, and the mixed complex soliton. All solutions obtained have been verified using symbolic computations. Moreover, the dynamics of some of the achieved solutions are presented by plotting two and three-dimensional graphs.

Automated summary

Abundant optical soliton solutions of the Biswas-Milovic equation with Kudryashov's law and nonlinear perturbation terms in polarization preserving fibers are constructed using two improved analytical schemes, and many constraint conditions emerge. These solutions include bright soliton, W-shaped soliton, dark soliton, etc., and have been verified through symbolic computations.