Exact solutions of coupled NLSE for the generalized Kudryashov’s equation in magneto-optic waveguides

The paper investigates the coupled system of NLSE for the generalized Kudryashov’s equation in magneto-optic waveguides, in which the trial equation method and the complete discriminant system for a polynomial are employed to obtain a rich set of exact solutions, including rational solutions, solitary wave solutions, triangular function solutions, and elliptic function solutions. Numerical simulations are also conducted on the solutions under specific parameters to visually depict the structure and characteristics.