Derivation of optical solitons in magneto-optical waveguides to coupled BMEs having Kudryashov’s nonlinearity

Abstract

This manuscript investigates the cubic–quartic optical solitons in magneto-optical waveguides and other traveling wave solutions to coupled Biswas–Milovic equations with Kudryashov’s nonlinear form. The solutions are extracted using the extended F-expansion method. Jacobi elliptical solutions, (bright–dark–singular) soliton solutions, hyperbolic solutions, periodic solutions, rational solutions, and exponential solutions are presented. moreover, a graphical illustration of a few selected results are present to clarify the potency and nature of the raised solutions.