Abstract
•Optical solitons in magneto-optic waveguides with generalized Kudryashov’s equation are studied.•The modified sub-ODE approach is implemented.•Bright, dark and singular soliton solutions to the model are revealed.•The conservation laws are computed for the model using the multiplier approach.
The modified sub–ODE approach secures optical soliton solutions in magneto–optic waveguides with generalized Kudryashov’s equation. The solutions are initially drafted in terms of Jacobi’s elliptic functions. The limiting process, when the modulus of ellipticity approaches zero or unity, the soliton solutions emerge. A few solutions in terms of Weierstrass’ elliptic functions are also revealed. Finally, the conservation laws are computed for the model using the multiplier approach.