We theoretically investigate the generation of dissipative solitons (DSs) and interactions between them in a fiber laser with higher-order dispersion and nonlinearity, multiphoton absorption, and gain dispersion or spectral filtering. A random component of the group-velocity dispersion (GVD) is taken into account too. The DSs are stabilized by the dynamical balance of the dispersion terms by the cubic–quintic nonlinearity, along with the balancing of the losses by a linear gain. Novel findings are presented for effects of the third-order GVD and intra-pulse stimulated Raman scattering on the formation and interactions of DSs in the system. A possibility of all-optical control of interactions between DSs by means of phase and temporal shifts between them is elaborated. The stability of the DSs against relatively large random-noise perturbations is explored too.

中文翻译：

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孤子光纤激光器中多光子吸收，拉曼散射和三阶色散的相互作用

我们从理论上研究耗散孤子（DSs）的产生以及它们在具有高阶色散和非线性，多光子吸收以及增益色散或光谱滤波的光纤激光器中的相互作用。组速度色散（GVD）的随机分量也被考虑在内。通过色散项的动态平衡（立方-五次非线性）以及线性增益的损耗平衡来稳定DS。提出了针对三阶GVD和脉冲内受激拉曼散射对系统中DS形成和相互作用的影响的新发现。阐述了通过DS之间的相位和时间偏移对DS之间的相互作用进行全光学控制的可能性。