Abstract
The present work addresses, for the first time, the cubic–quartic optical solitons in magneto-optic waveguides (MOW) for NLSE with Kudryashov’s law (KL) arbitrary refractive index and generalized non-local laws of nonlinearity. Two integrative methods, namely, the modified Kudryashov’s (MK’s) methodology and the addendum to Kudryashov’s (AK’s) methodology are utilized. Many different pattern of soliton solutions are deduced such as dark, bright optical solutions, candid solutions and combo bright-singular (CBS) solutions.