The influence of superfluid currents on the 3He-B texture in the presence of strong magnetic fields is investigated for the case of plane-parallel geometry and in a rotating cylinder. It is shown that when the magnetic field is not perpendicular to vS, the spacial dependence of the angle between the directrix n and the magnetic field becomes nonmonotonic after the attainment of a certain critical velocity. This nonmonotonicity causes an additional splitting of the central spectral line of the real squashing mode.

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