Abstract Soliton dynamics are numerically investigated in a two-mode fiber with the two-photon absorption, and the effects of the two-photon absorption on the soliton propagation and interaction are demonstrated in different dispersion regimes. Soliton dynamics depend strictly on the sign and magnitude of the group velocity dispersion (GVD) coefficient of each mode and the strength (coefficient) of the two-photon absorption. The two-photon absorption leads to the soliton collapse, enhances the neighboring soliton interaction in both modes, and increases the energy exchange between the two modes. Finally, an available control is proposed to suppress the effects by the use of the nonlinear gain with filter.
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