This paper retrieves the coupled system of nonlinear Schrödinger's equation with Kudryashov's equation in magneto-optic waveguides. We obtain three types of optical wave patterns with the help of the trial equation approach and the complete discriminant system for a polynomial. Under specific parameter values, surface plots of solitons are displayed to visualize the model and demonstrate their accurate physical behaviors.
- Kudryashov's equation
- Trial equation method