Cubic-quartic optical solitons having kudryashov's law of refractive index by F-expansion methods

An overwhelming number of models govern the dynamics of soliton propagation across trans-continental and trans-oceanic distances. Such wide range of equations stem from a variety of physical situations that includes dispersion-dominant fibers, dispersion-flattened fibers, birefringent fibers as well as optical metamaterials and metasurfaces. One of the latest models that has been recently proposed is Kudryashov's equation that first came into existence during 2019. This is the first model in nonlinear optics that contains quadruple nonlinear terms of power-law type and thus it makes it into an unique kind. This work presents cubic-quartic optical soliton solutions to Kudryashov's equation in polarization-preserving fibers. The integration is conducted with F-expansion scheme having four independent forms. This algorithm additionally reveals several other types of solution that includes Jacobi's elliptic functions, Weierstrass elliptic function, trigonometric function solutions as well as complexion solutions.