[en] The dynamic shear stabilization of the hydromagnetic kink instabilities in pinch and/or tokamak plasmas is analyzed from the standpoint of a nonlinear mode coupling between the kink mode and an applied helical RF magnetic field. The analysis is limited to the case of the m = 1 kink mode with long wavelengths in a uniform plasma column with sharp boundary. The dispersion relation of the kink mode in the presence of a small-amplitude helical RF magnetic field is derived. The present analysis suggests that the dynamic shear stabilization can be more effective than the prediction of Mathieu equation given previously by various authors. (author)