This study investigates optical solitons in magneto-optic waveguides while preserving the generalized anti-cubic structure of nonlinear self-phase modulation. A novel ϕ 6 -model expansion technique is proposed, and its application in magneto-optic waveguides is explored. The ϕ 6 approach provides an accurate and efficient method to solve wave propagation problems in magneto-optic media, enabling improved modeling of light behavior by incorporating the combined effects of electric and magnetic fields within a unified framework. To address the challenges arising from the nonlinear magneto-optic effects on waveguide characteristics, the method yields precise dispersion relations, field distributions, and transmission properties. This technique facilitates the design of magneto-optic waveguides with tailored characteristics for next-generation photonic systems. By offering a reliable and accurate modeling framework, the ϕ 6 approach contributes to the development of more precise and efficient magneto-optic devices, advancing photonic integration, communication, and sensing technologies.

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Optical wave propagation in magneto-optic waveguides with generalized anti-cubic model