Heavily-Chirped Solitary Pulses in the Normal Dispersion Region: New Solutions of the Cubic–Quintic Complex Ginzburg–Landau Equation

A new type of the heavily-chirped solitary pulse solutions of the nonlinear cubic-quintic complex Ginzburg-Landau equation has been found. The methodology developed provides for a systematic way to find the approximate but highly accurate analytical solutions of this equation with the generalized nonlinearities within the normal dispersion region. It is demonstrated that these solitary pulses have the extra-broadened parabolic-top or fingerlike spectra and allow compressing with more than a hundredfold growth of the pulse peak power. The obtained solutions explain the energy scalable regimes in the fiber and solid-state oscillators operating within the normal dispersion region and promise to achieve microjoules femtosecond pulses at MHz repetition rates.