Solitons and conservation laws in magneto-optic waveguides with generalized Kudryashov's equation

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.

Automated summary

The study focuses on obtaining optical soliton solutions in magneto-optic waveguides with the generalized Kudryashov's equation using the modified sub-ODE approach. The solutions are initially expressed in terms of Jacobi's elliptic functions, with soliton solutions emerging as the ellipticity modulus approaches zero or unity. Some solutions in terms of Weierstrass' elliptic functions are also revealed in the study. Finally, conservation laws for the model are computed using the multiplier approach.