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Analytical self-similar solutions of the Ginzburg-Landau equation with three-order dispersion effect
Authors:Jie Feng Wencheng Xu Weici Liu  Songhao Liu School of Physics  Telecommunication Engineering  South China Normal University  Guangzhou  China Laboratory of Photonic Information Technology  School of Information  Optoelectronic Science  Engineering  China
Institution:Jie Feng Wencheng Xu Weici Liu , Songhao Liu 1 School of Physics , Telecommunication Engineering,South China Normal University,Guangzhou 510006,China 2 Laboratory of Photonic Information Technology,School of Information , Optoelectronic Science , Engineering,China
Abstract: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 thirdorder 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.
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