An Explicit Calculation of the Dispersive and Nonlinear Frequency Chirps for Femtosecond Optical Pulses of the High Dispersive Cubic and Cubic-Quintic Nonlinear Schrödinger Equations

摘要: The cancellation of the dispersive and nonlinear phase components on optical pulses a Schrodinger equation in presence fourth order dispersion parabolic refractive index profile is explicitly demonstrated when hyperbolic function are injected. With help split step Fourier method we obtain frequency chirp associated with GVD SPM phenomena. Its mutual compensation leads to analytical exact soliton solutions high cubic quintic equations.