Cubic-quartic optical soliton perturbation in polarization-preserving fibers with complex Ginzburg-Landau equation having five nonlinear refractive index structures

In this research, we present a comprehensive coverage of soliton solutions to perturbed cubic-quartic (CQ) nonlinear complex Ginzburg-Landau (NLCGL) equation with five nonlinear laws to the refractive index. We specialize in studying the nonlinearity in the five different forms: Kerr law, parabolic law, polynomial law, quadratic-cubic law and parabolic non-local law. The integration scheme, namely the addendum to Kudryashov's approach has made this retrieval possible. For five laws nonlinearity, the analytical solutions are clearly constructed the combo-bright-singular, bright, dark and singular optical soliton solutions.