The traveling wave mode for nonlinear Biswas–Milovic equation in magneto-optical wave guide coupling system with Kudryashov’s law of refractive index

This paper studies the traveling wave modes for nonlinear Biswas–Milovic equation in magneto-optical wave guide coupling system with Kudryashov’s law of refractive index. By the complete discrimination system for polynomial and trial equation method, we derive a series of traveling wave solutions of the coupling system. These results show the abundant propagation patterns. In particular, by analyzing the topological stability and dynamic behavior we get four stable modes of this system. Under some special parameters, we give the concrete representations of solutions