Abstract
In this paper, we introduce the coupled system of magneto-optics waveguides for the nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index. The unified auxiliary equation method is used to construct optical solitons and other solutions to this system. The Jacobi elliptic function solutions have been located. In particular, bright, dark, singular solitons are obtained. In addition, we have combo singular solitons and combination of dark and singular solitons. Other solutions are also given.