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Nuclear spin systems in manganites, having separation of ferromagnetic andantiferromagnetic phases, which are manifested as two lines in the NMRspectrum, are studied. Taking into account the Ising nuclear interaction, weobtain an analytical description of Rabi oscillations and free induction decayin two-component nuclear spin systems when a radio-frequency pulsenon-resonantly excites the nuclei of one magnetic phase and resonantly thenuclei of the other phase. It is revealed that the nonlinearity of interactionbetween the nuclei of these phases results in additional harmonics in the Rabioscillations of the non-resonantly excited subsystem. We also show that theIsing interaction inside this subsystem forms multiple echoes in the freeinduction decay, whereas their non-monotonic damping and amplitude modulationis caused by the spin coupling between the subsystems.

Peculiarities of Rabi oscillations and free induction decay in two-component nuclear spin systems with Ising nuclei interactions