We revisit the role of the quintic terms of the complex cubic-quintic Ginzburg–Landau equation in the generation of stable dissipative solitons. Using direct numerical simulations and a qualitative analysis, we show that the presence of one of the two quintic terms is a sine qua non. However, this term is not necessarily the quintic gain saturation term as had been demonstrated by Moores [Opt. Commun. 96, 65 (1993) [CrossRef] ] but can be the higher-order (quintic) nonlinear refraction term. We prove that by numerically solving this equation, and we perform a qualitative analysis that shows that the negative soliton chirp, anomalous dispersion, and spectral filtering are the physical effects responsible for gain saturation in this case.

中文翻译：

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五次非线性折射项在复金茨堡-朗道方程耗散孤子稳定性中的作用

我们重新审视了复杂的三次五次金茨堡-朗道方程的五次项在稳定耗散孤子的产生中的作用。使用直接数值模拟和定性分析，我们表明两个五次项中的一个的存在是一个sine qua non。然而，该项不一定是 Moores [Opt. 社区。96 , 65 (1993) [CrossRef] ] 但可以是高阶（五次）非线性折射项。我们通过数值求解该方程证明了这一点，并进行了定性分析，表明负孤子啁啾、异常色散和光谱滤波是在这种情况下导致增益饱和的物理效应。