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We examine the nonlinear modulation of an electromagnetic localized pulse in a saturated bulk ferromagnetic medium. It is seen that the evolution of the pulse shape is governed by a three-dimensional generalization of the Davey-Stewartson (DS) system. A classification of the type of DS system encountered is given, with regard to the value of the physical parameters (external field and wave frequency). Numerical computations show the various possible behaviours of the pulse. Blow-up and spreading out occur, as well as shape modifications. Interaction with electromagnetic long waves can even stabilize the pulse, or cut it into several parts.
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Hervé Leblond (1999) studied this question.
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