Optical soliton solutions to the perturbed biswas-milovic equation with kudryashov’s law of refractive index

In this study, we will extract new impressive visions for the optical soliton solution and other novel set of the rational soliton solutions to the perturbed Biswas-Milovic equation with Kudryashov’s law of refractive index (PBMEWKL) that describes pulses propagation of different categories in optical fiber. Three various schemas are enforcement to extract these new visions. The three proposed techniques that are employed for these purposes are the solitary wave ansatz method (SWAM) the Paul-Painlevé approach method (PPAM) and the Riccati-Bernoulli Sub ODE method (RBSODM). Many new types of soliton solutions have been configured like bright soliton dark soliton combination between bright and dark soliton solutions, W-like shape soliton M-like shape soliton and other rational soliton solutions. The solutions imbedded in this article will play a principal role to understand the exact dynamics of soliton arising in nonlinear optics. The effective of all used algorithms that are examined previously for many other models, usually achieves very good results. Several emblematic 2D and 3D graphs are drawn under specific parameters, which can identify the morphology of optical waves more intuitively obvious. Moreover, we will establish a comparison not only for our achieved results via these three various paths but also with all who studied this model via other techniques.