Abstract
Abstract In this work the propagation of nonlinear electromagnetic short waves in a ferromagnetic medium with inhomogeneous exchange is discussed. It is shown that such waves propagate perpendicular to the magnetization density. The evolution of waves under the influence of perturbations in one transverse dimension is considered. As result, we derive a new (2+1)-dimensional evolution system in which painleve analysis reveals its integrability properties. In the wake of such analysis, using the arbitrary functions to enter into the Laurent series of solutions to the above system, we present some typical class of excitations.
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