Abstract
Present study deals with the nonlinear Biswas-Milovic coupled system with Kudryashovs law of refractive index of magneto-optics waveguides. An extended modified auxiliary equation mapping scheme will be used in order to obtain some new solitary wave solutions like bright type, dark, singular, periodic, doubly periodic, trigonometric, rational and hyperbolic solutions etc. Integrability of our governing model will also be investigated by Painleve test (P-test). Graphical results (2D, 3D and density plots) are also presented to display a comprehensive behavior of our outcomes.