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The superfluid drag effect, in hydrodynamics of pulsating neutron stars, isconventionally described with the aid of the entrainment matrix relating themass currents with the velocities of superfluid flows in the system. Equationsfor the entrainment matrix of a superfluid mixture of neutrons and protons arederived with allowance for the strong dependence of the energy gaps on thevelocities of superfluid flows. The calculations are carried out in the frameof the Fermi-liquid theory. The equations obtained are highly nonlinear.Numerical solutions to the equations for some typical cases demonstrate thatthe components of the entrainment matrix possess a highly nonlinear dependenceon the velocities of the two superflows simultaneously. This effect, previouslyignored, can greatly influence the dynamics of neutron stars.

Nonlinear approach to the entrainment matrix of superfluid nucleon mixture at zero temperature