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 influences 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 effective temporal pulse width. Numerical simulations show qualitative agreement with these theoretical results.
© 2010 Chinese Optics Letters
Jie Feng, Wencheng Xu, Weici Liua, and Songhao Liu, "Analytical self-similar solutions of the Ginzburg-Landau equation with three-order dispersion effect," Chin. Opt. Lett. 8, 89-92 (2010)