Interplay of multiphoton absorption, raman scattering and third-order dispersion in soliton fiber lasers

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.