Open AccessAnalytical self-similar solutions of Ginzburg-Landau equation for the dispersion decreasing fiber
Author(s) -
Jiayun Feng,
Xu Wen-Chen,
Shuxian Li,
Wei-Cheng Chen,
Song Fang,
Shen Min-Chang,
Songhao Liu
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.5835
Subject(s) - dispersion (optics) , chirp , pulse (music) , physics , exponential function , amplitude , fiber , mathematical analysis , function (biology) , distribution (mathematics) , distribution function , hyperbolic function , materials science , optics , quantum mechanics , mathematics , laser , evolutionary biology , detector , composite material , biology
Using the method based on the technique of symmetry reduction, we find the general analytical parabolic asymptotic self-similar solutions for the varying coefficient of Ginzburg-Landau equation that take consideration of the influence of the doped fiber retarding time. The parabolic asymptotic amplitude function, change of strict linear phase chirp and the effective temporal pulse width of self-similar pulse with gain dispersion are given for the dispersion decreasing fibers with longitudinal exponential distribution and hyperbolic distribution. And these theoretical results have been confirmed by numerical simulation in this paper.