Exploration of New Optical Solitons in Magneto-Optical Waveguide with Coupled System of Nonlinear Biswas–Milovic Equation via Kudryashov’s Law Using Extended F-Expansion Method

Optical soliton solutions in a magneto-optical waveguide and other exact are investigated for the coupled system of nonlinear Biswas–Milovic equation with Kudryashov’s law using extended F-expansion method. Various types extracted, such as dark solutions, singular dark–singular combo soliton, Jacobi elliptic periodic hyperbolic rational exponential Weierstrass solutions. The obtained different wave help obtaining optical fibers future. Furthermore, some selected described graphically to demonstrate physical nature results show that current method gives effectual direct mathematical tools resolving problems field equations.