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Repulsive Bose-Einstein condensate, where the short-range interaction isincluded up to the third order by the interaction radius, demonstratesexistence of a bright soliton in a narrow interval of parameters. This solitonis studied here for the boson-fermion mixture, where spin-1/2 fermions areconsider in the regime of full spin polarization. Influence of fermions via theboson-fermion interaction is considered up to the third order by theinteraction radius. Fermions themselves are considered by hydrodynamic modelincluding the pressure evolution equation. Interaction between fermions isconsidered. The first order by the interaction radius gives zero contributionin the Euler equation and the pressure evolution equation, but the third orderby the interaction radius provides nonzero contributions in both equations.Repulsive (attractive) boson-fermion interaction leads to the bright (dark)fermionic soliton.

Bosonic bright soliton in the mixture of repulsive Bose-Einstein  condensate and polarized ultracold fermions under influence of the pressure  evolution