Open AccessHigh order dispersion effect of Ginzburg-Landau equation and its self-similar analytical solutions
Author(s) -
Jiayun Feng,
Xu Wen-Cheng,
Weici Liu,
Shuxian Li,
Songhao Liu
Publication year - 2008
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.57.4978
Subject(s) - chirp , dispersion (optics) , pulse (music) , physics , amplitude , function (biology) , ginzburg–landau theory , mathematical analysis , dispersion relation , quantum electrodynamics , statistical physics , condensed matter physics , quantum mechanics , mathematics , laser , voltage , evolutionary biology , biology , superconductivity
Using the methods based on the technique of self-similar analyzing, we find the parabolic asymptotic self-similar analytical solutions with third-order dispersion effect of constant coefficient Ginzburg-Landau equation which considers both the influence of high order dispersion and gain dispersion on the evolution of self-similar pulse. The self-similar amplitude function, phase function, strict linear chirp function and effective temporal pulse width are given in the paper. The results show that self-similar pulses still have linear chirp and remarkable third-order dispersion effect. And these theoretical results are consistent with numerical simulations.