Soliton propagation of a femtosecond laser pulse in a medium with anomalous dispersion

The stationary shape of a femtosecond pulse propagating through a nonlinear medium with an anomalous dispersion is obtained. It is shown that the femtosecond-pulse intensity E₀² at which a soliton propagation takes place is inversely proportional to the pulse duration to the 2/3 power (E₀² ~1/τ₀^2/3). The analytic amplitude dependence of the reconstruction period of the soliton intensity time profile is obtained.