Solitons and conservation laws in magneto-optic waveguides with polynomial law nonlinearity

Abstract

Two prolific integration algorithms, extended Kudryashov's method and generalized Jacobi's elliptic function expansion, led to optical soliton solutions to magneto-optic waveguides maintaining polynomial law of nonlinear refractive index. Bright, singular and combo soliton solutions have thus emerged. A couple of solutions in terms of Weierstrass’ elliptic functions are also presented. Finally, the corresponding conservation laws are enumerated.