Analytical self similar solutions of the Ginzburg Landau equation with three ord

Based on the technique of the symmetry reduction, we find the asymptotic self-similarity analytical resolutions from the constant coefficient Ginzburg-Landau equation considering both in°uences of the third-order dispersion and gain dispersion on the evolution of pulses. We have obtained the self-similar pulse amplitude function, phase function, strict linear chirp function, and the e?ective temporal pulse width. Numerical simulations show qualitative agreement with these theoretical results.