Nonlinear electromagnetic waves in a ferromagnet in the presence of an external magnetic field are investigated by using a nonlinear perturbation method. In the lowest order of perturbation, it is found that the system of equations for the electromagnetic waves in a ferromagnet can be reduced to the modified Korteweg-de Vries equation. In the case of steady propagation this equation can be integrated to give a solution in closed form, which exhibits a solitary wave. Two kinds of solitary wave are found to be possible.
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Isamu Nakata (1991) studied this question.
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