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Analytical self-similar solutions of the Ginzburg-Landau equation with three-order dispersion effect

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【Author】 Jie Feng Wencheng Xu Weici Liu and Songhao Liu 1 School of Physics and Telecommunication Engineering,South China Normal University, Guangzhou 510006,China 2 Laboratory of Photonic Information Technology,School of Information and Optoelectronic Science and Engineering, South China Normal University,Guangzhou 510006,China

【机构】 School of Physics and Telecommunication Engineering,South China Normal University； Laboratory of Photonic Information Technology,School of Information and Optoelectronic Science and Engineering,South China Normal University；

【摘要】 <正>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.更多还原

【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.更多还原

【关键词】 Landau； qualitative； asymptotic； symmetry； chirp； strict； similarity； considering； nonlinearity； infinite；

【基金】 supported by the Natural Science Foundation of Guangdong Province under Grant No. 04010397

【文献出处】 Chinese Optics Letters ,中国光学快报(英文版) , 编辑部邮箱 ,2010年01期

【分类号】O436.3
【被引频次】5
【下载频次】75

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