Optical solitons for twin-core couplers in optical metamaterials with Kudryashov’s sextic power law of arbitrary refractive index

The purpose of the present paper is to provide the optical solitons of the twin-core couplers with optical metamaterials having Kudryashov’s sextic power law of arbitrary refractive index. The trial equation method and the complete discrimination system for polynomial are used to find exact solutions for a broad variety of optical solitons. Additionally, we analyze the topological stability of these patterns to investigate whether the forms of the solutions change when the parameters are perturbed, as a way to show the effect on the model when the parameters are changed.