In this work the propagation of nonlinear electromagnetic short waves in a ferromagnetic medium is discussed. It is shown that such waves propagate perpendicular to the magnetization density. The evolution of the wave under the influence of perturbations in one transverse dimension is considered; the asymptotic model equation governing the dynamics is a (2+1) generalization of the well-known sine-Gordon model. We exhibit the line-soliton solution and study its transverse stability. A numerical study of the model corroborates our analytical predictions.
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Manna et al. (2006) studied this question.
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