The influence of self-action effects on the magnetostatic surface waves (MSSW) pulses propagating in the structure of a one-dimensional magnonic crystal - dielectric - metal, where the choice of dielectric thickness forms an anomalous dispersion region that provides the fulfillment of Lighthill criterion on MSSW solitons formation, is studied. It is shown that in those cases when the portion of anomalous dispersion caused by metallization coincides with the frequency range of Bragg resonance, MSSW solitons are not formed.
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