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One of the fundamental physical phenomena observed in different media are the envelope solitons of waves of various nature, the nonlinear localized wave packets that are formed during the propagation of a pulsed perturbation owing to the compensation of the spreading effect of dispersion by the grouping effect of nonlinearity [1]. The envelope solitons can be also formed due to the development of intrinsic or induced modulation instability under the continuous propagation of finiteamplitude waves in a nonlinear dispersive medium [1, 2]. Waveguide structures made of thin magnetic films, in particular, of singlecrystal yttrium iron garnet (YIG) films, are convenient objects for studying both the nonlinear magnetization waves (nonlinear spi