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