脉冲内喇曼散射下复五次Ginzburg-Landau方程的啁啾Lambert W-扭结孤子
Chirped Lambert W-kink solitons of the complex cubic-quintic Ginzburg-Landau equation with intrapulse Raman scattering
摘要：
本文利用LambertW函数或Omega函数得到了复五次Ginzburg-Landau方程的精确显式解。更恰当地说，我们称它们为LambertW-扭结型孤子，它们是在脉冲内拉曼散射的影响下产生的。参数域划定这些光孤子退出在随后的模型。我们报告的Lambert W-扭结孤子的振幅，这使我们能够有效地控制脉冲强度，从而其随后的演变的模型系数的效果。此外，作为该模型的副产品，获得了移动的波前或光学冲击型孤子。我们阐述了通过微调光谱滤波或增益参数来控制这些波前强度的机制。结果表明，与这些光孤子相关的频率啁啾依赖于波的强度，并饱和到一个恒定的值作为延迟时间接近其渐近值。
英文摘要：
In this paper, an exact explicit solution for the complex cubic-quintic Ginzburg-Landau equation is obtained, by using Lambert W function or omega function. More pertinently, we term them as Lambert W-kink-type solitons, begotten under the influence of intrapulse Raman scattering. Parameter domains are delineated in which these optical solitons exit in the ensuing model. We report the effect of model coefficients on the amplitude of Lambert W-kink solitons, which enables us to control efficiently the pulse intensity and hence their subsequent evolution. Also, moving fronts or optical shock-type solitons are obtained as a byproduct of this model. We explicate the mechanism to control the intensity of these fronts, by fine tuning the spectral filtering or gain parameter. It is exhibited that the frequency chirp associated with these optical solitons depends on the intensity of the wave and saturates to a constant value as the retarded time approaches its asymptotic value.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
