Abstract
Using the variational method, we examine the evolution of different parameters to characterize an optical pulse propagating in a non-Kerr type medium having cubic-quintic nonlinearity in the vicinity of zero dispersion wavelength. The validity of the derived results is tested by applying different ansatz functions over a critical propagation distance. Furthermore, the results are compared with numerically simulated data generated through the Split Step Fourier beam propagation method, solving the dynamic nonlinear cubic-quintic Schrödinger equation (NLCQSE). Subsequently, the effect of higher order dispersion on optical bistability under cubic-quintic nonlinearity is studied in the framework of our proposed model.
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