Abstract
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.
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